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counting and probability junior
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?
(A)
(B)
(C)
(D)
(E)
Solution
The number of points could have been 10, 11, 12, 13, 14, or 15. This is because the minimum is 25=10 and the maximum is 35=15. The numbers between 10 and 15 are possible as well. Thus, the answer is .
Final answer
E