learn.howToCalculate
learn.whatIsHeading
Combinations count ways to choose items where order does not matter. Permutations count ways where order does matter. Both use factorials and appear in probability, statistics, and combinatorics.
Stapsgewijze handleiding
- 1Permutations (order matters): P(n,r) = n! / (n−r)!
- 2Combinations (order irrelevant): C(n,r) = n! / (r!(n−r)!)
- 3Rule of thumb: if you can swap two items and get a different result, use permutations
Uitgewerkte voorbeelden
Invoer
Choose 3 from 10 (order matters)
Resultaat
720
P(10,3) = 10×9×8 = 720
Invoer
Choose 3 from 10 (order irrelevant)
Resultaat
120
C(10,3) = 720/6 = 120
Invoer
Lotto: 6 from 49
Resultaat
13,983,816
C(49,6)