{"id":117,"date":"2026-10-03T11:43:20","date_gmt":"2026-10-03T10:43:20","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/binom-katsayisi\/"},"modified":"2026-10-03T11:43:20","modified_gmt":"2026-10-03T10:43:20","slug":"binom-katsayisi","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/binom-katsayisi\/","title":{"rendered":"Binom Katsay\u0131s\u0131 Hesaplama Arac\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">\u201dn&#039;den k Se\u00e7me\u201d Kombinasyonlar\u0131n\u0131 Hesaplay\u0131n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"117\" data-favorite-title=\"Binom Katsay\u0131s\u0131\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/binom-katsayisi\/\" data-favorite-excerpt=\"Binom katsay\u0131s\u0131 C(n, k) \u2014 n nesne aras\u0131ndan s\u0131ra g\u00f6zetmeksizin k nesne se\u00e7me yollar\u0131n\u0131n say\u0131s\u0131n\u0131 hesaplay\u0131n. n ve k de\u011ferlerini girin; form\u00fcl ve \u00e7\u00f6z\u00fcml\u00fc \u00f6rnekle birlikte an\u0131nda sonucu al\u0131n.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-algebra\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/matematik\/binom-katsayisi\/\" method=\"POST\" class=\"calculator\" id=\"calculator-117\" data-post=\"117\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">n (toplam eleman say\u0131s\u0131)<\/label><div class=\"term\">n<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"n_toplam_eleman_says\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"5\"\/><small id=\"calc-info-1\">Toplam eleman say\u0131s\u0131n\u0131 (n) girin<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">k (se\u00e7ilen eleman say\u0131s\u0131)<\/label><div class=\"term\">k<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"k_seilen_eleman_says\" id=\"field-2\" aria-describedby=\"calc-info-2\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" value=\"2\"\/><small id=\"calc-info-2\">Se\u00e7ilecek eleman say\u0131s\u0131n\u0131 (k) girin<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"117\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Sonu\u00e7lar\u0131n\u0131z<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Binom Katsay\u0131s\u0131<\/span><span class=\"result-term\">C(n, k)<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"117\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Binom Katsay\u0131s\u0131 Form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ \\binom{n}{k} = \\frac{n!}{k!\\,(n-k)!} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Buradaki:<\/strong><\/p>\n<ul>\n<li>\\(n\\) \u2014 toplam nesne say\u0131s\u0131 (negatif olmayan bir tam say\u0131)<\/li>\n<li>\\(k\\) \u2014 se\u00e7ilecek nesne say\u0131s\u0131 (\\(0 \\le k \\le n\\))<\/li>\n<li>\\(n!\\) \u2014 \\(n\\)'nin fakt\u00f6riyeli, yani \\(1 \\times 2 \\times \\dots \\times n\\) \u00e7arp\u0131m\u0131; \\(0! = 1\\) kabul edilir<\/li>\n<\/ul>\n<p>Bu form\u00fcl, s\u0131ran\u0131n \u00f6nemsiz oldu\u011fu durumda \\(n\\) nesneden boyutu \\(k\\) olan ka\u00e7 farkl\u0131 alt k\u00fcmenin olu\u015fturulabilece\u011fini sayar. Bu katsay\u0131, Paskal \u00dc\u00e7geni'nde ve \\((a+b)^n\\) a\u00e7\u0131l\u0131m\u0131nda g\u00f6r\u00fcnen katsay\u0131yla ayn\u0131d\u0131r.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Binom Katsay\u0131s\u0131 \u2013 Hesaplama \u00d6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> 5 ki\u015filik bir gruptan 2 ki\u015filik bir komisyon se\u00e7ilecek. Ka\u00e7 farkl\u0131 komisyon olu\u015fturulabilir? Burada \\(n = 5\\) ve \\(k = 2\\) olur.<\/p>\n<p>\\[ \\binom{5}{2} = \\frac{5!}{2!\\,(5-2)!} = \\frac{120}{2 \\times 6} = \\frac{120}{12} = 10 \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> \\(\\binom{5}{2} = 10\\) \u2014 5 ki\u015fi aras\u0131ndan 2 ki\u015fi 10 farkl\u0131 \u015fekilde se\u00e7ilebilir.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplama Arac\u0131 Nas\u0131l Kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>n (toplam nesne)<\/strong> alan\u0131na toplam nesne say\u0131s\u0131n\u0131 girin.<\/li>\n<li><strong>k (se\u00e7ilecek nesne)<\/strong> alan\u0131na se\u00e7ilecek nesne say\u0131s\u0131n\u0131 girin. \\(k\\) de\u011feri \\(n\\)'yi a\u015famaz.<\/li>\n<li><strong>Binom Katsay\u0131s\u0131<\/strong> ba\u015fl\u0131\u011f\u0131 alt\u0131ndaki sonucu okuyun \u2014 bu, \\(\\binom{n}{k}\\), yani olas\u0131 se\u00e7imlerin say\u0131s\u0131d\u0131r.<\/li>\n<\/ol>\n<h2>Binom Katsay\u0131s\u0131 Nedir?<\/h2>\n<p>Binom katsay\u0131s\u0131 \\(\\binom{n}{k}\\), \"n'den k se\u00e7\" diye okunur ve temel bir sayma sorusunu yan\u0131tlar: \\(n\\) nesnelik bir k\u00fcmeden, se\u00e7ilen nesnelerin s\u0131ras\u0131 \u00f6nemsizken \\(k\\) nesne ka\u00e7 farkl\u0131 \u015fekilde se\u00e7ilebilir? Elinizde 5 kitap varsa ve yolculu\u011fa 2 tanesini almak istiyorsan\u0131z, \u00f6nce hangisini ald\u0131\u011f\u0131n\u0131z\u0131n bir \u00f6nemi yoktur; \u00f6nemli olan \u00e7antan\u0131za hangi \u00e7iftin girdi\u011fidir. Binom katsay\u0131lar\u0131n\u0131n <em>kombinasyonlar\u0131<\/em> saymas\u0131n\u0131n nedeni budur; oysa s\u0131ran\u0131n \u00f6nemli oldu\u011fu ve say\u0131m\u0131n daha b\u00fcy\u00fck oldu\u011fu <em>permutasyonlardan<\/em> farkl\u0131d\u0131r.<\/p>\n<p>Ad\u0131n\u0131 binom teoreminden al\u0131r: \\((a+b)^n\\) a\u00e7\u0131l\u0131m\u0131ndaki katsay\u0131lar tam olarak \\(\\binom{n}{0}, \\binom{n}{1}, \\dots, \\binom{n}{n}\\) de\u011ferleridir. \u00d6rne\u011fin \\((a+b)^2 = a^2 + 2ab + b^2\\) a\u00e7\u0131l\u0131m\u0131ndaki 2 katsay\u0131s\u0131 \\(\\binom{2}{1}\\) de\u011ferine e\u015fittir. \u0130ki terimli ifadelerin \u00e7arp\u0131mlar\u0131n\u0131 a\u00e7mak isterseniz <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/binom-carpimi\/\">Binom \u00c7arp\u0131m\u0131 hesaplama arac\u0131<\/a> ve <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/foil-yontemi\/\">FOIL y\u00f6ntemi hesaplama arac\u0131<\/a> bu ad\u0131m\u0131 do\u011frudan ger\u00e7ekle\u015ftirir.<\/p>\n<p>Binom katsay\u0131lar\u0131 ayr\u0131ca olas\u0131l\u0131\u011f\u0131n temel yap\u0131 ta\u015flar\u0131d\u0131r. Bir deneyde \\(n\\) ba\u011f\u0131ms\u0131z deneme varsa ve her biri \\(p\\) olas\u0131l\u0131kla ba\u015far\u0131yla sonu\u00e7lan\u0131yorsa, tam olarak \\(k\\) ba\u015far\u0131 elde etme \u015fans\u0131 \\(\\binom{n}{k} p^k (1-p)^{n-k}\\) olur. Katsay\u0131, \\(n\\) denemeden hangilerinin ba\u015far\u0131l\u0131 oldu\u011funu sayar; sonu\u00e7lar\u0131n gruplar h\u00e2linde say\u0131ld\u0131\u011f\u0131 her yerde bu nedenle kar\u015f\u0131m\u0131za \u00e7\u0131kar.<\/p>\n<p>Paskal \u00dc\u00e7geni'nin her sat\u0131r\u0131, \\(n\\)'nin bir de\u011feri i\u00e7in katsay\u0131lar\u0131 listeler: 5. sat\u0131r 1, 5, 10, 10, 5, 1'dir ve \\(\\binom{5}{2} = 10\\) de\u011ferini i\u00e7erir. \u00dc\u00e7gen, \\(\\binom{n}{k} = \\binom{n}{n-k}\\) simetrisini ve Paskal kural\u0131n\u0131, \\(\\binom{n}{k} = \\binom{n-1}{k-1} + \\binom{n-1}{k}\\), kolayca g\u00f6rmenizi sa\u011flar. Ayn\u0131 \u00fc\u00e7gen, s\u0131\u011f k\u00f6\u015fegenlerinin toplamlar\u0131 Fibonacci say\u0131lar\u0131n\u0131 verdi\u011fi i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/fibonacci-dizisi\/\">Fibonacci dizisiyle<\/a> de ba\u011flant\u0131l\u0131d\u0131r.<\/p>\n<h2>Sonucun Yorumlanmas\u0131<\/h2>\n<p>Sonu\u00e7 her zaman bir tam say\u0131d\u0131r, \u00e7\u00fcnk\u00fc bir se\u00e7imin kesirli olmas\u0131 s\u00f6z konusu olamaz. Akl\u0131n\u0131zda tutmaya de\u011fer iki \u00f6zel durum vard\u0131r: \\(\\binom{n}{0} = 1\\) (hi\u00e7bir \u015fey se\u00e7menin tam olarak bir yolu vard\u0131r) ve \\(\\binom{n}{n} = 1\\) (her \u015feyi se\u00e7menin bir yolu vard\u0131r). E\u011fer \\(k &gt; n\\) ise se\u00e7im olanaks\u0131zd\u0131r ve hesaplama arac\u0131 bir say\u0131 yerine hata g\u00f6sterir.<\/p>\n<p>\u0130\u015fleminizi kontrol etmek i\u00e7in yararl\u0131 \u00f6zde\u015flikler: \\(\\binom{n}{1} = n\\), \\(\\binom{n}{2} = \\frac{n(n-1)}{2}\\) ve simetri gere\u011fi \\(\\binom{n}{k} = \\binom{n}{n-k}\\); dolay\u0131s\u0131yla \\(\\binom{5}{3} = \\binom{5}{2} = 10\\) olur.<\/p>\n<h2>Varsay\u0131mlar ve S\u0131n\u0131rlamalar<\/h2>\n<ul>\n<li><strong>Yaln\u0131zca tam say\u0131lar.<\/strong> Hem \\(n\\) hem de \\(k\\) negatif olmayan tam say\u0131lar olmal\u0131d\u0131r. \"Nesne se\u00e7menin\" kombinatorik anlam\u0131 kesirli girdilere geni\u015fletilemez.<\/li>\n<li><strong>\\(k \\le n\\).<\/strong> Se\u00e7ilecek nesne say\u0131s\u0131 mevcut say\u0131y\u0131 a\u015farsa hesaplama arac\u0131 hata bildirir; matematiksel olarak \\(k &gt; n\\) i\u00e7in \\(\\binom{n}{k} = 0\\)d\u0131r.<\/li>\n<li><strong>S\u0131ra yok say\u0131l\u0131r.<\/strong> Bu hesaplama arac\u0131 s\u0131ral\u0131 olmayan se\u00e7imleri sayar. Se\u00e7ilen nesnelerin s\u0131ras\u0131 \u00f6nemliyse permutasyonlara, yani \\(P(n,k) = \\frac{n!}{(n-k)!}\\) ifadesine ihtiya\u00e7 duyars\u0131n\u0131z; bu de\u011fer her zaman \\(\\binom{n}{k}\\) de\u011ferine e\u015fit ya da ondan b\u00fcy\u00fckt\u00fcr.<\/li>\n<li><strong>Tekrar yok.<\/strong> \\(n\\) nesnenin her biri en fazla bir kez se\u00e7ilebilir. Tekrar\u0131n serbest oldu\u011fu se\u00e7imler farkl\u0131 bir form\u00fcl kullan\u0131r: \\(\\binom{n+k-1}{k}\\).<\/li>\n<li><strong>B\u00fcy\u00fckl\u00fck s\u0131n\u0131rlar\u0131.<\/strong> Fakt\u00f6riyeller son derece h\u0131zl\u0131 b\u00fcy\u00fcr; \\(70!\\) bile \\(10^{100}\\) de\u011ferini a\u015far. \u00c7ok b\u00fcy\u00fck \\(n\\) de\u011ferlerinde, matematiksel de\u011fer tam olsa bile sonu\u00e7lar say\u0131 hassasiyetiyle s\u0131n\u0131rl\u0131 kalabilir.<\/li>\n<\/ul>\n<h2>S\u0131k Kullan\u0131lan De\u011ferler Tablosu<\/h2>\n<table>\n<thead>\n<tr>\n<th>\\(n\\)<\/th>\n<th>\\(k\\)<\/th>\n<th>\\(\\binom{n}{k}\\)<\/th>\n<th>Yorum<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>4<\/td>\n<td>2<\/td>\n<td>6<\/td>\n<td>4 nesneden ikililer<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>2<\/td>\n<td>10<\/td>\n<td>5 nesneden ikililer<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>3<\/td>\n<td>20<\/td>\n<td>6 nesneden \u00fc\u00e7l\u00fcler<\/td>\n<\/tr>\n<tr>\n<td>10<\/td>\n<td>5<\/td>\n<td>252<\/td>\n<td>10 nesnenin yar\u0131s\u0131<\/td>\n<\/tr>\n<tr>\n<td>52<\/td>\n<td>5<\/td>\n<td>2.598.960<\/td>\n<td>5 kartl\u0131 poker elleri<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Son sat\u0131r, binom katsay\u0131lar\u0131n\u0131n neden kart problemlerinde standart ara\u00e7 oldu\u011funu g\u00f6sterir: 52 kartl\u0131k bir desteden da\u011f\u0131t\u0131labilecek farkl\u0131 5 kartl\u0131 ellerin say\u0131s\u0131 tam olarak \\(\\binom{52}{5}\\) de\u011feridir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Binom katsay\u0131s\u0131 C(n, k) \u2014 n nesne aras\u0131ndan s\u0131ra g\u00f6zetmeksizin k nesne se\u00e7me yollar\u0131n\u0131n say\u0131s\u0131n\u0131 hesaplay\u0131n. n ve k de\u011ferlerini girin; form\u00fcl ve \u00e7\u00f6z\u00fcml\u00fc \u00f6rnekle birlikte an\u0131nda sonucu al\u0131n.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[16],"class_list":["post-117","post","type-post","status-publish","format-standard","hentry","category-matematik","tag-cebir"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/117","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=117"}],"version-history":[{"count":3,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/117\/revisions"}],"predecessor-version":[{"id":3003,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/117\/revisions\/3003"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=117"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=117"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=117"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}