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Question

If A={8,9,10} and B={1,2,3,4,5}, then the number of elements in A×A×Bare


A

15

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B

30

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C

45

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D

75

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Solution

The correct option is C

45


Explanation for correct option:

Finding the number of elements:

Given, A={8,9,10} & B={1,2,3,4,5}

Number of element present in A,n(A)=3

Number of element present inB,n(B)=5

Number of element present in,

A×A=n(A)×n(A)=3×3=9

Number of element present in,

A×A×B=n(A)×n(A)×n(B)=9×5=45

Hence, the correct option is (C).


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