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For nonnegative integers \(x, y,\) and \(m,\) what is the greatest value of m for which \(x^m\) is a factor of \(y!?\)

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For nonnegative integers \(x, y,\) and \(m,\) what is the greatest value of m for which \(x^m\) is a factor of \(y!?\)

by Gmat_mission » Sun Dec 19, 2021 1:37 am

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For nonnegative integers \(x, y,\) and \(m,\) what is the greatest value of m for which \(x^m\) is a factor of \(y!?\)

(1) \(y=x-1\)

(2) \(x\) is a prime number

Answer: C

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