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Combinatorics (n!, nPr, nCr)

nPr = n! / (n − r)! (order matters) and nCr = n! / [r! × (n − r)!] (order does not matter), for integers 0 ≤ r ≤ n ≤ 170.

Combinations (nCr)
120
Permutations (nPr)
720
Factorial (n!)
3,628,800

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“10 choose 3” (10C3) equals 120. Above 170! standard 64-bit floating-point numbers overflow.

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