MathDB
A 36

Source:

May 25, 2007
floor functionDivisibility Theory

Problem Statement

Let nn and qq be integers with n≥5n \ge 5, 2≤q≤n2 \le q \le n. Prove that q−1q-1 divides ⌊(n−1)!q⌋\left\lfloor \frac{(n-1)!}{q}\right\rfloor .
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