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What is the simplified form of ( \frac{(n!)^2}{(n-1)!(n+1)!} )?( \frac{(n!)^2}{(n-1)!(n+1)!} ) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \frac{n}{n+1} )( \frac{n}{n+1} )
( \frac{n!}{(n-1)!}=n ) and ( \frac{n!}{(n+1)!}=\frac{1}{n+1} ), so the answer is ( \frac{n}{n+1} ). Break the ratio into two smaller parts.( \frac{n!}{(n-1)!}=n ) और ( \frac{n!}{(n+1)!}=\frac{1}{n+1} ), इसलिए उत्तर ( \frac{n}{n+1} ) है। अनुपात को दो छोटे भागों में तोड़ें।
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