A man has 7 relatives, 4 of them are ladies and 3 gentlemen; his wife has 7 relatives and 3 of them are ladies and 4 gentlemen. The number of ways they can invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of men's relatives and 3 of wife's relatives is

Question

A man has 7 relatives, 4 of them are ladies and 3 gentlemen; his wife has 7 relatives and 3 of them are ladies and 4 gentlemen. The number of ways they can invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of men's relatives and 3 of wife's relatives is (A) 455 (B) 565 (C) 485 (D) None of these

Tardigrade Admin · Accepted Answer

The scheme is as follows <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/5de2a944e1bddc57fc4c6c0bf88122f4-.png" /> Total number of ways =1+144+324+16=485

Q. A man has $7$ relatives, $4$ of them are ladies and $3$ gentlemen; his wife has $7$ relatives and $3$ of them are ladies and $4$ gentlemen. The number of ways they can invite a dinner party of $3$ ladies and $3$ gentlemen so that there are $3$ of men's relatives and $3$ of wife's relatives is

455

565

485

None of these

The scheme is as follows

Total number of ways $= 1 + 144 + 324 + 16 = 485$

Q. A man has 7 relatives, 4 of them are ladies and 3 gentlemen; his wife has 7 relatives and 3 of them are ladies and 4 gentlemen. The number of ways they can invite a dinner party of 3 ladies and 3 gentlemen so that there are 3 of men's relatives and 3 of wife's relatives is

455

565

485

None of these

The scheme is as follows Total number of ways =1+144+324+16=485

Q. A man has $7$ relatives, $4$ of them are ladies and $3$ gentlemen; his wife has $7$ relatives and $3$ of them are ladies and $4$ gentlemen. The number of ways they can invite a dinner party of $3$ ladies and $3$ gentlemen so that there are $3$ of men's relatives and $3$ of wife's relatives is

The scheme is as follows

Total number of ways $= 1 + 144 + 324 + 16 = 485$