Mathematics - Permutation & Combination Question with Solution | TestHub
MathematicsPermutation & CombinationDivision of Identical itemsMedium2 minQB
MathematicsMediumsingle choice
Statement I: The number of ways to distribute 12 identical balls into three identical boxes is 19. Statement II: The number of ways to distribute identical objects among distinct persons, each allowed zero or more, is .
Options:
Answer:
B
Solution:
The unordered triples of nonnegative occupancies summing to 12 number 19: one all-equal, six with exactly two equal, and twelve all-distinct. II is stars-and-bars for distinct recipients, not a direct explanation for identical boxes.
Stream:JEESubject:MathematicsTopic:Permutation & CombinationSubtopic:Division of Identical items
⏱ 2mℹ️ Source: QB
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