Question: For three overlapping sets A,B.C - use the statement P(AU B) = P(A) + P(B) P(AN B) and any relevant set-related, or probability-related, axioms

For three overlapping sets A,B.C - use the statement P(AU B) =  

For three overlapping sets A,B.C - use the statement P(AU B) = P(A) + P(B) P(AN B) and any relevant set-related, or probability-related, axioms to prove that P(AUBUC) = P(A)+P(B)+P(C)P(ANB)-P(ANC)-P(BNC)+P(ANBNC)

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