Question: Show that for any integers n 0 and 0 k n, the expression ( n k ) achieves its maximum value when

Show that for any integers n ≥ 0 and 0 ≤ k ≤ n, the expression (nk) achieves its maximum value when k = ⌊n/2⌋ or k = ⌈n/2⌉.

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