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HMMT November 2009 F8

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A single burger is not enough to satisfy a guy's hunger. The five guys go to Five Guys' Restaurant, which has 20 different meals on the menu. Each meal costs a different integer dollar amount between $1\$ 1 and $20\$ 20. The five guys have $20\$ 20 to split between them, and they want to use all the money to order five different meals. How many sets of five meals can the guys choose?

Dataset text NuminaMath olympiads. Quoted with source.

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