Of 42 students in a class,30 of them like PE,20 like Art.

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Of 42 students in a class,30 of them like PE,20 like Art.
How many of them like the both subjects at least?How many of them like the both subjects at most?

最多20人,最少8人
翻译：
一个有42人的班级中,30人喜欢体育,20人喜欢艺术.至少有多少学生同时喜欢这2项.至多有多少学生同时喜欢这2项.
首先算至少：如果30人喜欢体育,20人喜欢艺术,那么加起来就一共有50人了,可班上明明只有42人,这多出来的8人就是两项都喜欢的,因为他们在喜欢体育时被算了一次,喜欢艺术时又被算了一次,所以总人数超过了42.
再算至多：因为30人大于20人,所以喜欢艺术的可以全部喜欢体育但是喜欢体育的没办法全部喜欢艺术,否则会多出10个人.因此最多20人

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