Prove-that-n-2-n-n-1-is-always-an-integer-for-n-N-

Tinku Tara June 4, 2023 Permutation and Combination 0 Comments

Question Number 34410 by Tinkutara last updated on 05/May/18

Prove that (((n^2 )!)/((n!)^(n+1) )) is always an integer for n∈N.

$${Prove}\:{that}\:\frac{\left({n}^{\mathrm{2}} \right)!}{\left({n}!\right)^{{n}+\mathrm{1}} }\:{is}\:{always}\:{an}\:{integer} \\ $$$${for}\:{n}\in{N}. \\ $$

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Prove-that-n-2-n-n-1-is-always-an-integer-for-n-N-

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