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JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

relatives of a man comprise ladies and gentlemen his wife has also relatives; of them are ladies and gentlemen. In how many ways can they invite a dinner party of ladies and gentlemen so that there are of man's relative and of the wife's relative?

Answer: (A)

Solution

Let ladies come from the man's side; then his side sends gentlemen, and the wife's side sends ladies and gentlemen. The count for a given is

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Question ID VK-020570