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(8) distinct tasks are to be distributed among (3) persons (A,B,C). Person (A) must get exactly (3) tasks and person (B) must get at least (2) tasks. How many distributions are possible?

Answer and explanation

Correct answer: (1456)

First choose (3) tasks for (A), then distribute the remaining (5) tasks between (B,C) with (B) getting at least (2). Apply the fixed person's condition first.

Related tags

DistributionTasksAt-LeastFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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