# 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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