Paano Kalkulahin si Combinations Permutations
Ano ang 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.
Step-by-Step na Gabay
- 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
Mga Nalutas na Halimbawa
Input
Choose 3 from 10 (order matters)
Resulta
720
P(10,3) = 10×9×8 = 720
Input
Choose 3 from 10 (order irrelevant)
Resulta
120
C(10,3) = 720/6 = 120
Input
Lotto: 6 from 49
Resulta
13,983,816
C(49,6)