Answer:
The sample space is:
[tex]AB,\ AC,\ AD,\ AE,\\BC,\ BD,\ BE\\CD,\ CE\\DE[/tex]
Step-by-step explanation:
The sample space of an experiment is a set of all the possible values that satisfies that experiment.
The five supervisors are A, B, C, D and E.
Two are to selected.
The number of ways to select 2 supervisors from 5 is: [tex]{5\choose 2}=\frac{5!}{2!(5-2)!} =\frac{5!}{2!\times 3!} = 10[/tex]
The sample space will consist of 10 combinations.
The sample space is:
[tex]AB,\ AC,\ AD,\ AE,\\BC,\ BD,\ BE\\CD,\ CE\\DE[/tex]