Seven relatives of a man comprises four ladies and three gentlemen: his wife has also seven relatives-three of them are ladies and four gentlemen. In how many ways can they invite 3 ladies and 3 gentlemen at a dinner party so that there are three mans relatives and three wifes relatives?

Explanation

The four possible ways of inviting 3 ladies annd 3 gentlemen for the party with the help of the following table:

`therefore`Required number of ways to invite `=1+144+324+16=485`.