i had a question and its
"A man has 5 female and 7 male friends and his wife has 7 female and 5 male friends. In how many ways can they invite 6 males and 6 females if husband and wife are to invite 6 friends each? Answer. 267,148."
i tried to have cases by that each person invited six and total of 6 females and 6 males
1 = 5 mens * 1 female + 1 man * 5 females and cont
and then sum them up but the answer was less than the answer given it was 1848