A class consist of 7 men and 9 women. A committee of 6 is formed. Obtain the probability that it consists of i) All men
ii) exactly 3 women.
number of different 6 person committees from 16 people ... 16C6
number of different 6 person committees from 7 men ... 7C6
p(all men) = 7C6 / 16C6
number of different 3 woman groups from 9 women ... 9C3
number of different 3 man groups from 7 men ... 7C3
p(exactly 3 women) ... (9C3 * 7C3) / 16C6