Cara Menghitung Combinations Permutations
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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.
Panduan Langkah demi Langkah
- 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
Contoh Terpecahkan
Masukan
Choose 3 from 10 (order matters)
Hasil
720
P(10,3) = 10×9×8 = 720
Masukan
Choose 3 from 10 (order irrelevant)
Hasil
120
C(10,3) = 720/6 = 120
Masukan
Lotto: 6 from 49
Hasil
13,983,816
C(49,6)