SOLUTION: A town meeting consists of 8 democrats, 6 republicans and 4 independents. Suppose the group wants to elect each of the following. How many ways are there to... a committee of f

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Question 768235: A town meeting consists of 8 democrats, 6 republicans and 4 independents.
Suppose the group wants to elect each of the following. How many ways are there to...
a committee of five, where the chair is a democrat
Answer by stanbon(75887) (Show Source):
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A town meeting consists of 8 democrats, 6 republicans and 4 independents.
Suppose the group wants to elect each of the following. How many ways are there to...
a committee of five, where the chair is a democrat
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# of ways t pick a chairman:: 6
# of ways to pick 4 others::: 17C4 = (17*16*15*14)/(1*2*3*4) = 2380
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# of ways to form the committee::: 6*2380 =14280
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Cheers,
Stan H.
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