Prove that$ \frac{(n^2)!}{(n!)^n} \in$ Z

Asked Sep 04 '17 at 08:22

Active Sep 04 '17 at 09:05

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Using permutation or otherwise, prove that$ \frac{(n^2)!}{(n!)^n}$an integer, where n is a positive integer.

Putting n=1,2,3.... I can prove that above quantity is an integer but this is not correct as it needs to be proved in a methodological way.

edited Sep 04 '17 at 09:05

Davood

asked Sep 04 '17 at 08:22

Samar Imam Zaidi

Thanks I will mark it as duplicate – Samar Imam Zaidi Sep 04 '17 at 08:36
;It can be proven with very easy high-school knowledge. https://math.stackexchange.com/questions/467574/using-permutation-or-otherwise-prove-that-fracn2nn-is-an-integer/2416194#2416194 – Davood Sep 04 '17 at 09:11

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