Question 955817: Student council consists of 3 seniors, 3 juniors, 5 sophomores and 3 freshman. A committee must be made up of two students from 9, 10 or 11th grade and another 2 students from 12th grade. How many different committees can be made? Explain. IT does not say whether seniors and serve on more than one committee.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Student council consists of 3 seniors, 3 juniors, 5 sophomores and 3 freshman. A committee must be made up of two students from 9, 10 or 11th grade and another 2 students from 12th grade. How many different committees can be made? Explain. IT does not say whether seniors and serve on more than one committee.
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Choose 2 of the 3 seniors in 3C2 = 3C1 = 3/1 = 3 ways
Choose 2 of the 11 underclassmen 11C2 = (11*10)/(1*2) = 55 ways
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Ans: 3C2*11C2 = 3*55 = 165
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Cheers,
Stan H.
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