Question

7 relatives of a man comprises 4 ladies and 3 gentlemen, his wife also has 7 relatives; 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 of man’s relative and 3 of the wife’s relatives?

Answer 1

	Husband	Wife
L	G	L	G
(4)	(3)	(3)	(4)

We need 3 ladies and 3 gentlemen for the party which consist of 3 Husbands relative and 3 wifes relative. 

This can be done as follows