If A=\{1,2,3,4\} and B=\{3,4,5\}, then the number of elements in (A \\cupB) \\times(A \\capB) \\times(A \\DeltaB) is

NIMCET 2021 Question Paper with solutions

Question : 21 of 120

Marks: +1, -0

A=\{1,2,3,4\}

and

B=\{3,4,5\}

, then the number of elements in

(A \∪B) \×(A \∩B) \×(A \ΔB)

Solution:

A=\{1,2,3,4\}

B=\{3,4,5\}

A \∪B=\{1,2,3,4,5\}

A \∩ B=\{3,4\}

A \ΔB=\{1,2,5\}

n(A \∪B)=5

n(A \∩B)=2

n(A \ΔB)=3

Then

(A \∪B) \×(A \∩B) \×(A \ΔB)

=5 \×2 \×3

=30

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