A club consists of 25 married couples. Determine how many ways a committee of 7 people can be formed from these couples if..

c) at least one person must be a man

no answer for this question. Could someone please help?

d) there must be at least 3 women and at least 2 men

my answer: (25 3) (25 7-2)

= 25 Cr 3 x 25 Cr 7-2

= 1,105,598,500

Is this correct?