( \frac{\frac{(n+3)!}{(n-2)!}}{\frac{(n+2)!}{(n-3)!}} ) का सरल रूप क्या है?

What is the simplified form of ( \frac{\frac{(n+3)!}{(n-2)!}}{\frac{(n+2)!}{(n-3)!}} )?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. \( \frac{n+3}{n-2} \)

Explanation

Simple Explanation

दोनों बड़े अनुपातों के समान गुणक कट जाते हैं। अंत में \( \frac{n+3}{n-2} \) बचता है। / The common factors of both large ratios cancel out. Finally \( \frac{n+3}{n-2} \) remains.

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FAQs

Mathematics Answer, Explanation and Revision Hints

( \frac{\frac{(n+3)!}{(n-2)!}}{\frac{(n+2)!}{(n-3)!}} ) का सरल रूप क्या है? / What is the simplified form of ( \frac{\frac{(n+3)!}{(n-2)!}}{\frac{(n+2)!}{(n-3)!}} )?

Correct Answer: A. \( \frac{n+3}{n-2} \). Explanation: दोनों बड़े अनुपातों के समान गुणक कट जाते हैं। अंत में \( \frac{n+3}{n-2} \) बचता है। / The common factors of both large ratios cancel out. Finally \( \frac{n+3}{n-2} \) remains.