SOLUTION: From a group of 25 Democrats and 18 Republicans;how many committees consisting of 3 Democrats and 2 Republicans are possible?From a group of 25 Democrats and 18 Republicans;if one

Algebra ->  Permutations -> SOLUTION: From a group of 25 Democrats and 18 Republicans;how many committees consisting of 3 Democrats and 2 Republicans are possible?From a group of 25 Democrats and 18 Republicans;if one       Log On


   

Question 935856: From a group of 25 Democrats and 18 Republicans;how many committees consisting of 3 Democrats and 2 Republicans are possible?From a group of 25 Democrats and 18 Republicans;if one of two specific Democrats is to be chairman;how many committees are possible with the same balance of Democrats and Republicans as previously stated?Please help me solve these questions.
Answer by stanbon(75887) About Me  (Show Source):
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From a group of 25 Democrats and 18 Republicans;how many committees consisting of 3 Democrats and 2 Republicans are possible?
Ans:: 25C3 * 18C2 = 2300 * 153 = 351900 committees
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From a group of 25 Democrats and 18 Republicans;if one of two specific Democrats is to be chairman;how many committees are possible with the same balance of Democrats and Republicans as previously stated?
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Pick a chairman:: 2 ways
Pick 2 Dems from 24:: 24C2 = 276 ways
Pick 2 Reps from 18:: 18C2 = 153 ways
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Ans: 2* 276*153 = 84456 ways
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Cheers,
Stan H.
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