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If n(A)=10, n(B)=30,n(C)=50 and if set A, B, C are pairwise disjoint then which of the following is correct?

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If n(A)=10, n(B)=30,n(C)=50 and if set A, B, C are pairwise disjoint then which of the following is correct?

(a) n(A U B)=0

(b) n(B U C)=0

(c) n(A U B U C)=90

(d) All of the mentioned

This question was addressed to me during an interview.

Query is from Sets topic in division Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

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Correct option is (d) All of the mentioned

To elaborate: All the statements are true based on definition.

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