SOLUTION: 2.Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule?

Algebra ->  Permutations -> SOLUTION: 2.Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule?       Log On


   

Question 85109: 2.Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule?
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Choose 6 in the morning: 10C6 = 210 ways
Arrange those 6 in some order = 6!=720 ways
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Choose 4 for the afternoon: 4C4 = 1
Arrange those 4 in some order = 4! = 24 ways
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Total # of ways to arrange 210*720*24 = 3,628,800
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Cheers,
Stan H.