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Asked Nov 4, 2019
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 How many elements are in the union of four sets if each of the sets has 95 elements, each pair of sets share 45 elements, each triple of sets shares 25 elements and there are 7 elements in all four sets.

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Expert Answer

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Step 1

Here, there are four sets. This is representing as A, B, C, and D.

Each of the sets has 95 elements

|A| = 95, |B|=95, |C|=95, |D|=95

each pair of sets share 45 elements

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AnB 45 4nC 45,|AND|= 45.,|BNC|= 45. BND| = 45,|COD=45

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Step 2

each triple of sets shares 25 elements

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4NBNC=25,|40BND=25,|ANCND| = 25,|BNCND|=25

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Step 3

there are 7 elements i...

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|BNC

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Probability

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