Πώς να υπολογίσετε το Combinations Permutations
Τι είναι το Combinations Permutations;
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.
Οδηγός βήμα προς βήμα
- 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
Worked Examples
Εισαγωγή
Choose 3 from 10 (order matters)
Αποτέλεσμα
720
P(10,3) = 10×9×8 = 720
Εισαγωγή
Choose 3 from 10 (order irrelevant)
Αποτέλεσμα
120
C(10,3) = 720/6 = 120
Εισαγωγή
Lotto: 6 from 49
Αποτέλεσμα
13,983,816
C(49,6)