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Set Theoryhard
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Let A,B,CA, B, CA,B,C be subsets of a universal set UUU of size 100. If ∣A∣=75|A| = 75∣A∣=75, ∣B∣=80|B| = 80∣B∣=80, and ∣C∣=85|C| = 85∣C∣=85, what is the minimum possible size of A∩B∩CA \cap B \cap CA∩B∩C?