Convert the product into Factorial
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Convert the product into Factorial

[From: ] [author: ] [Date: 12-03-16] [Hit: ]
.answer = (2n)! / n!I need to know the steps involved-(2n)!Dividing (2n)! by n!......
(n+1)(n+2)(n+3)...........(2n)

answer = (2n)! / n!
I need to know the steps involved

-
(2n)! = (1) (2) (3) ∙∙∙ (n) (n + 1) (n + 2) (n + 3) ∙∙∙ (2n - 1) (2n)

Dividing (2n)! by n!, you have
[(1) (2) (3) ∙∙∙ (n) (n + 1) (n + 2) (n + 3) ∙∙∙ (2n - 1) (2n)]
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[(1) (2) (3) ∙∙∙ (n)]

This removes the first n factors from (2n)!, leaving you with the desired
(n + 1) (n + 2) (n + 3) ∙∙∙ (2n - 1) (2n)

-
1x2x3x4x...xnx(n+1)(n+2)...(2n)=2n!
but we start our product from(n+1) so n! is out...
answer 2n!/n!
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