The members of a board of directors have the following roles

The members of a board of directors have the following roles president (P), we president (V), secretary (S), treasury (T), and fundraiser (F) Consider these board members to be a population of interest List the 10 possible samples (without replacement) of size two from this population of five board members.

Solution

no.of possible samples = 5C2 = 10

To find the possible samples first let us start with P,

So it\'s - PV, PS, PT, PF

with V it is - VS, VT, VF [ since VP = PV is already there in starting with P list]

similarly with S it is - ST, SF [ Since SP,SV are already listed above]

The 10 possible samples are PV, PS, PT, PF,VS, VT, VF,ST, SF

Option A is the answer