SOLUTION: Seven prizes are to be given to seven different people in a group of nineteen. In how many ways can a first prize, a second prize, a third prize and four fourth prizes be given?

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Question 411389: Seven prizes are to be given to seven different people in a group of nineteen. In how many ways can a first prize, a second prize, a third prize and four fourth prizes be given?
Answer by stanbon(75887) About Me  (Show Source):
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Seven prizes are to be given to seven different people in a group of nineteen. In how many ways can a first prize, a second prize, a third prize and four fourth prizes be given?
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Pick 7 people in 19C7 ways.
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Award 4 ordered prizes in 7P4 ways
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Answer: 19C7 * 7P4 = 50388*840 = 42,325,920 ways
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Cheers,
Stan H.
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