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JEE MATHEMATICS MCQ: COMBINATIONS

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7 relatives of a man comprise 4 ladies and 3 gentlemen his wife has also 7 relatives, 3 of them are ladies and 4 gentlemen. In how many ways can they invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of man’s relative and 3 of the wife’s relative?

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Correct option: A

485

Option A (485) is correct because it sums the number of ways to invite relatives based on different combinations of ladies and gentlemen from both families.

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