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Question

Given A={0,1,2,4,5},B={0,2,4,6,8} and C={0,3,6,9}. Find the number of elements in
A(BC)

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Solution

Given, A={0,1,2,4,5},B={0,2,4,6,8} and C={0,3,6,9}
Intersection of two sets has the elements common in both the sets
So, BC={0,6}
And, A(BC)={0,1,2,4,5}{0,6}={0} ....(1)
number of elements in A(BC) is 1.

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