AMC10 2008 B

AMC10 2008 B · Q1

AMC10 2008 B · Q1. It mainly tests Fractions, Basic counting (rules of product/sum).

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?

一名篮球运动员在一场比赛中投中了5个篮。每个篮得分要么是2分，要么是3分。玩家的总得分可能有多少种不同的数值？

(A) 2 2

(B) 3 3

(D) 5 5

(E) 6 6

Answer

Correct choice: (E)

正确答案：（E）

Solution

The number of points could be any integer between $5 \cdot 2 = 10$ and $5 \cdot 3 = 15$, inclusive. The number of possibilities is $15 - 10 + 1 = 6$.

得分可能是在 $5 \cdot 2 = 10$ 和 $5 \cdot 3 = 15$ 之间的任何整数，包括两端。可能性个数是 $15 - 10 + 1 = 6$。

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