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[7] We have 17 people on a committee. The committee has done such a great job...

[7] We have 17 people on a committee. The committee has done such a great job of eradicating pollution from the campus that the dean wants to give a $7000 scholarship to one member, a $5000 scholarship to another member and a $3000 scholarship to another member to show the school's gratitude. How many different ways can the dean do this?

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