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MathNet 2009-part-04 — 175 problems (EN–VI) Question 173

Math Olympiad Vault · MathNet 2009-part-04 — 175 problems (EN–VI)

Question 173

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 $1$ and $20$. The five guys have $20$ 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?