2008 AMC 10B Problems/Problem 1

Problem

A basketball player made 5 baskets during a game. Each basket was worth either 2 or 3 points. How many different numbers could represent the total points scored by the player?

$\mathrm{(A)}\ 2\qquad\mathrm{(B)}\ 3\qquad\mathrm{(C)}\ 4\qquad\mathrm{(D)}\ 5\qquad\mathrm{(E)}\ 6$

Solution

The number of points could have been 10, 11, 12, 13, 14, or 15. Thus, the answer is $\mathrm{(E)}$ .

2008 AMC 10B (Problems • Answer Key • Resources)
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All AMC 10 Problems and Solutions

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2008 AMC 10B Problems/Problem 1

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