Combinations & Permutations
Calculate combinations C(n,k) and permutations P(n,k) with formulas and results for large numbers. Essential for combinatorics.
Combination — C(n,k) — order does NOT matter
Permutation — P(n,k) — order MATTERS
When to use each?
Combination C(n,k): when the order of elements does not matter. E.g. choosing 3 people from a group of 10 for a committee.
Permutation P(n,k): when the order of elements matters. E.g. how many podiums (1st, 2nd, 3rd place) are possible in a race with 10 drivers.
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