NDA 2024 Mathematics question
A man has 7 relatives (4 women and 3 men). His wife also has 7 relatives (3 women and 4 men). In how many ways can they invite 3 women and 3 men so that 3 of them are man's relatives and 3 of them are his wife's relatives?
Answer: (C)
Solution
Suppose women (and men) come from the man's side; then women and men come from the wife's side. Number of ways $=
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