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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingHard
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In a project, the leader is selected from (6) seniors, the coder from (8) juniors, and the designer from (5) artists. The leader and coder cannot be from the same house; house counts among seniors are (2,4) and among juniors (3,5). How many teams are possible?

Answer and explanation

Correct answer: (110)

Valid leader-coder pairs are (6\times8-(2\times3+4\times5)=22). Then multiply by the (5) choices for designer.

Related tags

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