A man has 7 relatives, 4 of them are ladies and 3 gentlemen, his wife has 7 relatives and…

Mathematics · JEE Main · NTA ExamsPermutations and Combinations

A man has 7 relatives, 4 of them are ladies and 3 gentlemen, his wife has 7 relatives and 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 man's relative and 3 of wife's relatives ?
  1. 324
  2. 144
  3. 485
  4. None of these

Answer

(C) 485

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