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Class 11 Mathematics Permutations and Combinations Factorial notationExpert

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If ( \frac{(n!)^2}{(n-3)!(n+3)!}=\frac{5}{21} ), what is the value of (n)?

Answer and explanation

Correct answer: (6)

Putting (n=6) in the simplified form gives ( \frac{6\cdot5\cdot4}{7\cdot8\cdot9}=\frac{5}{21} ). Cancel while checking options.

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Permutations Combinations Factorial Expert Factorial Notation Permutations And Combinations Mathematics Class 11 Mcq

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