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Of the 75 houses in a certain community, 48 have a patio. How many of the houses in the community have a swimming pool?
(1) 38 of the houses in the community have a patio but do not have a swimming pool.
(2) The number of houses in the community that have a patio and a swimming pool is equal to the number of houses in the community that have neither a swimming pool nor a patio.
分析A选项
分析B选项
分析C选项
分析D选项
分析E选项
题目:总数75 P=48 (P包含了仅仅P和有P又有S的) 求S (S包含了仅仅S和有S又有P的)
条件1:仅仅P有38,那么可得有P又有S的为10即有S又有P的为10,但是仍旧不知道S,因为不知道无P又无S的多少人 - 不充分
条件2:设有P又有S的人为t=无P又无S的人,那么75=t+t+48-t+S-t 可得S=75-48=27 充分
小良冠二郎
错选c,因为用了 二集合容斥 (即實際上多少人參與其中)A + B – AB的思想。
送我上700
有个疑问啊,为啥75个房子是这个社区的总数呢,按照题意理解,of the 75 houses in a certain community,应该指的是75个房子只是这个社区所有房子的一部分,这个community的总房数不清楚,应该选E啊
214202mdhi
社区的房子包括 1、有P有S 2、无P无S 3、有P无S 4、无P有S 条件一只知道1、3,但不知道2、4,所以求不出1+4 条件2知道1=2 设m=有p有s=无p无s 所以75=m+m+48-m+s-m
Kath1230
一定要动笔算一算!!!!
我要吃烤鸡
仅看本题(2)吧 用字母简化楼上的思路 48=P+PS 75=P+PS+ps+S 求S+PS=? 又已知PS=ps S+PS=S+ps → 75-48=27
借我借我一双慧眼吧
75个房子,有48个有patio,问多少房子有sp (1)38个房子有patio,但是没有sp (2)p+sp=没有p+sp的房子 (1)38个房子有p,但是没有sp 有泳池的房子 =只有泳池的房子的数量+有泳池和院子房子的数量 =只有泳池的房子的数量+两者都没有的房子的数量 =没有院子的房子的数量 =总数-有院子的房子的数量 =75-48=27
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