2011 AMC 8 第 6 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

6.

一个镇上有 351351 名成年人,每个成年人拥有汽车、摩托车,或两者都有。若 331331 名成年人拥有汽车,4545 名成年人拥有摩托车,那么有多少名汽车拥有者不拥有摩托车?

In a town of 351351 adults, every adult owns a car, a motorcycle, or both. If 331331 adults own cars and 4545 adults own motorcycles, how many of the car owners do not own a motorcycle?

2020

2525

4545

306306

351351

答案:D
知识点:容斥原理
难度评级:870
解答:

已知有 4545 人拥有摩托车,所以 35145=306351 - 45 = 306 人不拥有摩托车。

所以正确答案是 D

We know that 4545 people own motorcycles, so 35145=306351 - 45 = 306 people do not own motorcycles.

Thus, D is the correct answer.

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