Combinations with Replacement ಅನ್ನು ಹೇಗೆ ಲೆಕ್ಕ ಹಾಕುವುದು
Combinations with Replacement ಎಂದರೇನು?
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)!)
ಹಂತ-ಹಂತದ ಮಾರ್ಗದರ್ಶಿ
- 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
Worked Examples
ಇನ್ಪುಟ್
n=5 flavors, k=3 scoops (repeats allowed)
ಫಲಿತಾಂಶ
C(7,3) = 35 combinations
(5+3-1)! / (3! × 4!) = 35
ಲೆಕ್ಕಾಚಾರ ಮಾಡಲು ಸಿದ್ಧರಿದ್ದೀರಾ? ಉಚಿತ Combinations with Replacement ಕ್ಯಾಲ್ಕುಲೇಟರ್ ಅನ್ನು ಪ್ರಯತ್ನಿಸಿ
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