A team of 7 people is to be chosen from 12

couples. How many ways can a team of three men and four

women be chosen? How many ways can a team containing

no couple be chosen? How many ways can a team

containing exactly two couples be chosen?

my guess is for part 1 is: (12 choose 7) * (6 choose 3) * (6 choose 4)?

cant figure out the rest!