If in sets A, B, C, the set B ∩ C consists of 8 elements, set A ∩ B consists of 7 elements and set C ∩ A consists of 7 elements then the minimum element in setA U B U C will be?(a) 8(b) 14(c) 22(d) 15I got this question in an international level competition.Question is from Algebraic Laws on Sets topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

If in sets A, B, C, the set B ∩ C consists of 8 elements, set A ∩

1.	If in sets A, B, C, the set B ∩ C consists of 8 elements, set A ∩ B consists of 7 elements and set C ∩ A consists of 7 elements then the minimum element in setA U B U C will be?(a) 8(b) 14(c) 22(d) 15I got this question in an international level competition.Question is from Algebraic Laws on Sets topic in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics
Answer» Right CHOICE is (a) 8 The best I can explain: For minimum elements set B and Chave 8 elements each and all of the elements are same,ALSO set A should have 7 elements which are already present in B and C. Thus A U B U C ≡ A ≡ B.

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