Permutations and combinations both count arrangements, but permutations care about order while combinations do not.
Permutations (nPr)
nPr = n! / (n-r)!. Choosing a president and vice-president from 10 people: 10P2 = 90. Use the Permutation Calculator.
Combinations (nCr)
nCr = n! / (r!(n-r)!). Choosing any 2 people from 10: 10C2 = 45. See the Combination Calculator.
When to Use Which
Order matters? Permutation. Order irrelevant? Combination.
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