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Omni-MATH / For a real number x, let ⌊x⌋ stand for the largest integer that is less than or equal to x. Prove that ⌊((n−1)!)/(n(n+1))⌋ is even for every positive integer n. · Discussion

Discussing For a real number x, let ⌊x⌋ stand for the largest integer that is less than or equal to x. Prove that ⌊((n−1)!)/(n(n+1))⌋ is even for every positive integer n. · Omni-MATH

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