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Q.

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

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a

15

b

30

c

45

d

75

answer is C.

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Detailed Solution

n(A×B×C×.)=n(A)×n(B)×n(C)×n(A×A×B)=n(A)×n(A)×n(B) [n(A)=3,n(B)=5]=3×3×5=45

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