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# CBSE Class 11-science Answered

If A = {1, 2, 3}, B = {4}, C = {5}, verify that A (B C) = (A B) (A C)
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM Expert Answer

(B C) = {4, 5}

So, A (B C) = {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}

Now    (A B) = {(1, 4), (2, 4), (3, 4)}

And    (A C) = {(1, 5), (2, 5), (3, 5)}

Therefore, (A B) (A C) =  {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}

Hence, A (B C) = (A B) (A C)

Answered by | 04 Jun, 2014, 03:23: PM

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