A committee consists of 13 Republicans and 16 Democrats. How many different subcommittees of 5 can be formed if the subcommittee must consist of 4 Republicans and 1 Democrats? Solution Total Republican = 13 Total democrats = 16 We need to select 4 Republican and 1 democrats. Number of different subcommittee = 13C4 * 16C1 = 13!/(4!*9!) * 16!/(1!*15!) = 11440.