JEE Main 2017 Mathematics question
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
Answer: (D)
Solution
X invites (3L, 0M), (2L, 1M), (1L, 2M) or (0L, 3M) and Y the complement: $4 ยท 4 +
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