for how many integers nn between 11 and 5050, inclusive, is \dfrac{\left(n^{2}-1\right)!}{\left(n!^{n}\right)} (n! n ) (n 2 −1)! an integer?

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07-09-2022
Mathematics

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for how many integers nn between 11 and 5050, inclusive, is \dfrac{\left(n^{2}-1\right)!}{\left(n!^{n}\right)} (n! n ) (n 2 −1)! an integer?

Sagot :

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for how many integers nn between 11 and 5050, inclusive, is \dfrac{\left(n^{2}-1\right)!}{\left(n!^{n}\right)} (n! n ) (n 2 −1)! ​ an integer?

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for how many integers nn between 11 and 5050, inclusive, is \dfrac{\left(n^{2}-1\right)!}{\left(n!^{n}\right)} (n! n ) (n 2 −1)! an integer?