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Verified answer
C (n, k) = n! / (k! (n - k)!)
C (7, 5) = 7! / (5! (7 - 5)!)
= 7! / (5! × 2!)
= (7×6×5×4×3×2×1) / ((5x4x3x2x1)(2×1))
= 5.040 / 240
= 21