SOLUTION: how many different committees of five from a group of fourteen students can be selected if Qistina and Fahmi insist on serving together or not at all?

Question 1048588: how many different committees of five from a group of fourteen students can be selected if Qistina and Fahmi insist on serving together or not at all?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Group of 14
Qistina and Fahmi insist on serving together or not at all
Then 14-2 = 12
How many groups of 3 can Qistina and Fahmi serve with?
12C3
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Because a team that contains both Qistina and Fahmi contains exactly 3 other people from the remaining 12 in the group,
there are as many such teams as there are subsets of 3 people that can be chosen from the remaining 12.
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