1

4 women

There are ways to choose 4 women from 7,

ways to choose a man to go with each female group, ways to choose 5 people from 17.

Hence P(4W) =

2

2 men

P(2M) =

3

at least 1 man

This is the probability of no men subtracted from 1,

since all probabilities sum to 1.

P(at least 1 man) = 1-P(no men)=1-P(all women)=

4

3 men

P(3M) =