Not sure how to approach the following question

I understand how to do a and b but is there an easier way to do c? It seems way to tedious to do by hand.

A company employs a sales team of 20 people, consisting of 12 men and 8 women

a) what is p, the proportion of men in the sales team

b) Five salespeople are to be selected at random to attend an important conference. What are the possible values of the same proportion ^p of men in the sample.

c) Construct a probability distribution table which summarises the sampling distribution of the sample proportion of men when sample of size 5 are selected from the sales team.

(Chapter 17B q2 from Cambridge Mathematical Methods Units 3&4 book )