Paano Kalkulahin si Combinations with Replacement
Ano ang Combinations with Replacement?
Combinations with replacement (also called multiset coefficients) count the number of ways to choose k items from n types when you can repeat items and order does not matter. Formula: C(n+k-1, k) = (n+k-1)! / (k!(n-1)!)
Step-by-Step na Gabay
- 1Unlike regular combinations, you can pick the same item multiple times
- 2Order still does not matter (unlike permutations)
- 3Formula: C(n+k-1, k) where n = types, k = selections
- 4Example: Choosing 3 scoops from 5 ice cream flavors (can repeat) = C(7,3) = 35
Mga Nalutas na Halimbawa
Input
n=5 flavors, k=3 scoops (repeats allowed)
Resulta
C(7,3) = 35 combinations
(5+3-1)! / (3! × 4!) = 35
Handa nang kalkulahin? Subukan ang libreng Combinations with Replacement Calculator
Subukan ito sa iyong sarili →