# Question: a committee will be formed with two managers and four...

###### Question details

A committee will be formed with two managers and four engineers selected randomly without replacement from nine managers and 18 engineers.

(a)How many different committees are possible?

(b) What is the probability that the specific engineer Pat and the specific manager Chris are on the committee?

(c) What is the probability that specific engineer Pat or specific manager Chris are on the committee?

(d) Each of the engineers differ in years of experience. What is the probability that the most experienced and least experienced engineers are on the committee?