A survey of 100 persons revealed that 72 of them had eaten a

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A survey of 100 persons revealed that 72 of them had eaten at restaurant P and that 52 of them had eaten at restaurant Q.Which of the following could not be the number of perspons in the surveyed group who has eaten at both P and
A 20
B 24
C 30
D 50
E 52

选择A.有28个人没有在P吃过饭,假使这28个人都在Q吃过饭（即都在52人之内）,那么另外的24人肯定都既在P 又在Q 吃过饭,这是最少的人数.因为如果52个人之中没在P中吃过饭的人少于28个,即多于24个,也就是有多于24个的人在P和Q都吃过饭.

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