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what is (2n)! in terms of n!

what is (2n)! in terms of n!

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1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
8 years ago
(2n)!=(2n)(2n-1)(2n-2)(2n-3)(2n-4)..............n(n-1)(n-2)(n-3)..........6.5.4.3.2.1
={(2n)(2n-2)(2n-4)...........6.4.2}{(2n-1)(2n-3)(2n-5)........5.3.1}
=2^n{(n)(n-1)(n-2)......3.2.1}{1.3.5........(2n-1)}
=2^n.(n)!{1.3.5..............(2n-1)
Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

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