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Questions  

If A={1,2,3,4},B={3,4,5} then the

number of elements in (AB)×(AB)×(AΔB) is

 

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By Expert Faculty of Sri Chaitanya
a
5
b
30
c
10
d
4

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detailed solution

Correct option is B

A∪B={1,2,3,4,5},n(A∪B)=5 A∩B={3,4},n(A∩B)=2AΔB=(A~B)∪(B~A)={1,2}∪{5} ={1,2,5}n(AΔB)=3 Hence n((A∪B)×(A∩B)×(AΔB)}=5×2×3=30


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