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701脑筋急转弯简单数值题short

Three-Set Region Recovery 1

题目

In a universe of 140 objects, sets A, B, C satisfy |A|=62, |B|=55, |C|=49, |A∩B|=22, |A∩C|=18, |B∩C|=17, and |A∩B∩C|=9. How many objects lie in exactly one of the three sets? How many lie in exactly two? How many lie in none?

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