Combinations with Replacement ની ગણતરી કેવી રીતે કરવી

Combinations with Replacement શું છે?

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)!)

પગલું દ્વારા પગલું માર્ગદર્શિકા

1. 1Unlike regular combinations, you can pick the same item multiple times
2. 2Order still does not matter (unlike permutations)
3. 3Formula: C(n+k-1, k) where n = types, k = selections
4. 4Example: Choosing 3 scoops from 5 ice cream flavors (can repeat) = C(7,3) = 35

Worked Examples