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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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(10) identical coins are to be distributed among (4) children. Each child must get at least (1) coin, and the eldest child can get at most (4) coins. How many distributions are possible?

Answer and explanation

Correct answer: (74)

First count positive solutions and subtract solutions where the eldest child gets (5) or more coins. Complement counting is useful for upper-bound restrictions.

Related tags

Identical-DistributionStars-BarsCountingFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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