a team of 4 is to be chosen at random from 5 women and 6 men.in how many ways can this be done if a. there are no restrictions. b. there must be more men than women.

We can use the counting principle:
a) 11 people, choose 4...11*10*9*8=7920
b) more men than women means 3 men... (6*5*4)(5*4)=2400