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Question

If A= {2,3,0}, B= {1,4} and C= {1,2}. then prove (AB)C=A(BC)

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Solution

Given, A= {2,3,0}, B= {1,4} and C= {1,2}

First take L.H.S (AB)C
(AB)={1,2,4,0,3}
(AB)C = {1,2,4,0,1,3}

Similarly, take R.H.S A(BC)
BC = {1,2,4,1}
A(BC) = {1,2,4,0,1,3}

So, L.H.S = R.H.S
Hence, proved.

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