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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingHard
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One representative is to be chosen from each of three clubs. Debate has (5) boys and (4) girls, Science has (6) boys and (3) girls, and Art has (4) boys and (5) girls. How many ways are there to choose exactly (2) girls?

Answer and explanation

Correct answer: (243)

There are three cases for the two clubs contributing girls, and the sum is (4\times3\times4+4\times6\times5+5\times3\times5=243). For exact-number conditions, make cases.

Related tags

Permutations-And-CombinationsFundamental-PrincipleCountingHardFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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