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What is the value of \( \frac{9!}{6!\cdot2!} \)?\( \frac{9!}{6!\cdot2!} \) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 252252
Since \(9!=9\times8\times7\times6!\), \(\frac{9!}{6!\cdot2!}=\frac{9\times8\times7}{2}=252\). Therefore, 252 is correct. The value 336 is a common error obtained by not dividing by \(2!\). Exam tip: In factorial fractions, cancel the common factorial term first and then multiply the remaining factors.\(9!=9\times8\times7\times6!\) होने से \(\frac{9!}{6!\cdot2!}=\frac{9\times8\times7}{2}=252\)। अतः सही उत्तर 252 है। 336 प्राप्त करना एक सामान्य त्रुटि है, जो \(2!\) से भाग न देने पर आता है। परीक्षा टिप: फैक्टोरियल भिन्न में पहले समान फैक्टोरियल पदों को काटें, फिर शेष गुणन करें।
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