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If A has 4 elements B has 8 elements then the minimum and maximum number of elements in A U B are ____________

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If A has 4 elements B has 8 elements then the minimum and maximum number of elements in A U B are ____________

(a) 4, 8

(b) 8, 12

(c) 4, 12

(d) None of the mentioned

The question was posed to me in an online interview.

This key question is from Set Operations in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Right answer is (b) 8, 12

The best I can explain: Minimum would be when 4 elements are same as in 8, maximum would be when all are distinct.

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