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Permutations vs Combinations

Count arrangements

Permutations count ordered selections; combinations count unordered; use factorial-based formulas to compute counts for choices without repetition.

Define

Permutations consider order; combinations do not.

Compute

nPr = n!/(n-r)!; nCr = n!/(r!(n-r)!).

Apply

Use permutations for ordering problems; combinations for grouping.

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