# Prove that (2n)!/n!=1x3x5...............(2-1)x2^n ?

Prove that (2n)!/n!=1x3x5...............(2-1)x2^n ?

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- Anonymous7 years agoFavorite Answer
(2n)! = (2n) X (2n-1) X (2n-2) X (2n-3) X (2n-4) X ... X 3 X 2 X 1

= (2n-1) X (2n-3) X (2n-5) X ... X 3 X 1

X 2(n) X 2(n-1) X 2(n-2) X 2(n-3) X ...X 2 X 1

= (2n-1) X (2n-3) X (2n-5) X ... X3X1

X 2^n X n!

So (2n)!/n! is 2^n times (2n-1)X(2n-3)X...X3X1

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- Anonymous7 years ago
It looks like Yahoo cut of your formula. Please add the rest of it. You need to include some spacee. If a "word" is too long it won't all be shown.

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