SETS PART 8 II QUESTIONS ON n(AUBUC)= n(A)+n(B)+n(C)–n(A∩B)-n(B∩C)–n(A∩C)+n(A∩B∩C)

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If n (AnnB)=10, n (BnnC) =20 and n(AnnC)=30, then the greatest possible value of n(AnnBnnC) is ... If n (AnnB)=10, n (BnnC) =20 and n(AnnC)=30, then the greatest possible value of n(AnnBnnC) is ...
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n(AUBUC) = n(AUBUC) =
Union of Three Sets Union of Three Sets
n(aubuc)=n(a)+n(b)+n(c)-n(a∩b)-n(a∩c)-n(b∩c)+n(a∩b∩c) proof n(aubuc)=n(a)+n(b)+n(c)-n(a∩b)-n(a∩c)-n(b∩c)+n(a∩b∩c) proof
If A,B and C are finite sets,then prove n(A∪B∪C)=n(A) + n(B) + n(C)– n(A∩B)–n(B∩C) – n(A∩C)+n(A∩B∩C) If A,B and C are finite sets,then prove n(A∪B∪C)=n(A) + n(B) + n(C)– n(A∩B)–n(B∩C) – n(A∩C)+n(A∩B∩C)
Cardinality of three sets A U B U C - Part 2 Cardinality of three sets A U B U C - Part 2
Let A and B be finite sets such that n(A)=20, n(B)=28 and n(A∪B)=36 find n(A∩B) Let A and B be finite sets such that n(A)=20, n(B)=28 and n(A∪B)=36 find n(A∩B)