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What is the simplified value of \(\frac{9!}{6!}\)?\(\frac{9!}{6!}\) का सरल मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 504504
Since \(9!=9\times8\times7\times6!\), \(\frac{9!}{6!}=9\times8\times7=504\). The value \(3024\) would result from multiplying by an extra \(6\), but the entire \(6!\) cancels here, leaving only \(9,8,7\). Exam tip: In \(\frac{n!}{r!}\), where \(n>r\), expand only up to \(r!\) and cancel it.क्योंकि \(9!=9\times8\times7\times6!\), इसलिए \(\frac{9!}{6!}=9\times8\times7=504\)। \(3024\) प्राप्त होता है यदि \(9\times8\times7\times6\) किया जाए, लेकिन यहाँ \(6!\) पूरा कट जाता है, केवल \(9,8,7\) बचते हैं। परीक्षा टिप: \(\frac{n!}{r!}\) में, जब \(n>r\), तो \(r!\) तक विस्तार करके उसे काट दें।
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