SOLUTION: Hello, this is a possible test question and i have no clue how to do this.. and my brain is hurting haha. A school commitee has one school vice-principal, three student council

Question 441750: Hello, this is a possible test question and i have no clue how to do this.. and my brain is hurting haha.
A school commitee has one school vice-principal, three student council members and two teachers. How many possible committees could be formed with three vice-principals, eight student council members and eighty teachers?
Thank you!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A school commitee has one school vice-principal, three student council members and two teachers.
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How many possible committees could be formed with three vice-principals, eight student council members and eighty teachers?
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# of ways to choose 1 vp: 3C1 = 3
# of ways to choose 3 sc: 8C3 = (8*7*6)/(1*2*3) = 56
# of ways to choose 2 t: 80C2 = (80*79)/(1*2) = 3160
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# of possible committees = 3*56*3160
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Cheers,
Stan H.

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