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What is the simplified value of \(\frac{12!}{11!}\)?\(\frac{12!}{11!}\) का सरल मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 1212
Since \(12!=12\times11!\), \(\frac{12!}{11!}=\frac{12\times11!}{11!}=12\). Option 132 is \(12\times11\), but the entire factor \(11!\) cancels in the division. Exam tip: remember that \(\frac{n!}{(n-1)!}=n\).क्योंकि \(12!=12\times11!\), अतः \(\frac{12!}{11!}=\frac{12\times11!}{11!}=12\)। विकल्प 132, \(12\times11\) है, लेकिन यहाँ \(11!\) से भाग होने पर पूरा \(11!\) कट जाता है। परीक्षा टिप: \(\frac{n!}{(n-1)!}=n\) का नियम याद रखें।
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