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Mathematics · 2017
JEE Main 2017 · 2017-04-02 Offline · Q66
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…
A man X has $\displaystyle 7$ friends, $\displaystyle 4$ of them are ladies and $\displaystyle 3$ are men. His wife Y also has $\displaystyle 7$ friends, $\displaystyle 3$ of them are ladies and $\displaystyle 4$ 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 $\displaystyle 3$ ladies and $\displaystyle 3$ men, so that $\displaystyle 3$ friends of each of X and Y are in this party, is :
Official answer
(4)
$\displaystyle 485$
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