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) =
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)=