There are five school officials at PCC who may be capable to serve on committee to investigate improving success in math courses: The Dean of Instruction (DOI), the Dean of Students (DOS), the Vice President of Student and Academic Affairs (VPSAA), the Division Dean overseeing mathematics (DD), and Campus President (CP). Suggest all possible groups of size 3 which can be obtained from this population of five officials. (Note: there are 10 possible samples!)
(a) What is the probability that the DOI and the CP are included in the sample?
(b) What is the probability that the DOI and the DOS are included in the sample?