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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

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  • 1. 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