Let A, B, and C be sets in a universal set U. We are given n(U) =100, n(A) =28, n(B) =25, n(C) =25, n(A ∩ B) =13, n(A ∩ C) =14, n(B ∩ C) =11, n(A ∩ B ∩ C) =6. What is n(Ac ∩ B ∩ Cc)?  (Enter answer as a whole number)

Q: . If A and B are sets in a universal set U, then AUB=AnB.

A: We proved this by wave diagram

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A: Yes, the above statement is false and the proof of above statement is given below:

Q: For the three sets A, B, and C,  A-(BUC) will be equal to,

A:

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A: By using identities of set theory :

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A:

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A: Consider the given sets:

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A: Here, to describe the given sets in words and/or picture.

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