From a sample of 8 women and 12 men, a committee consisting of 4 different people is to be formed. a) How many different committees are possible? Explain your answer.

b) How many different ways to form a committee with a chairperson, first vice chairperson, second vice chairperson and secretary? Explain your answer.

c) Find the probability of having exactly 2 women on the committee. Explain your answer.

d) Find the probability of having at least 1 woman on the committee. Explain your answer.