There are 5 eligible punjabi grooms of which 3 know bengali and 5 eligible bengali grooms of which 2 know punjabi . There are 5 eligible punjabi brides and 5 eligible bengali brides.If an eligible groom is agreeable to marry a girl of his community or knowing her language and the brides have no choice ,in how many different ways 10 couples can be formed?
1there are only 3 cases possible
case 1)5 punjabi brides marry to 5 punjabi groomg
so,total cases=5!*5!
case 2)5 punjabi brides marry to 4 punjabi & 1 bengali groom
so,total cases=3C1*2C1*5!*5!
case 3) 5 punjabi brides marry to 3 punjabi & 2 bengali groom
so,total cases=3C2*2C2*5!*5!
adding these 3 you will get the ans.
