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A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are ladies and 4 are men. Assume X and Y have no common friends. Then the total number of ways in which X and Y together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of X and Y are in this party, is

  1. 468
  2. 469
  3. 484
  4. 485 Students may find similar question in CP exercise sheet : [ JEE Main, Chapter :P & C, Page 16, Ex. 1, Q. No. 29 ]

Correct answer: 485 Students may find similar question in CP exercise sheet : [ JEE Main, Chapter :P & C, Page 16, Ex. 1, Q. No. 29 ]

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