SOLUTION: How many different committees of 4 members can be formed from a group with 7 seniors and 6 juniors if they are 3 seniors and 1 junior?
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Question 927117: How many different committees of 4 members can be formed from a group with 7 seniors and 6 juniors if they are 3 seniors and 1 junior? Answer by Edwin McCravy(20054) (Show Source):
7 seniors choose 3. That's C(7,3), or 7C3, which is 35 ways to choose the 3 seniors.
For each of those 35 ways to choose the 3 seniors, there are 6 ways, 6C1, to choose the 1 junior.
Answer = C(7,3)×C(6,1) = 35×6 = 210 ways.
Edwin
