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Question

If A, B and C are any three sets, then A(BC) is equal to

A
(AB)(AC)
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B
(AB)(AC)
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C
(AB)C
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D
(AB)C
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Solution

The correct option is B (AB)(AC)
U(PQ)=(PQ)c
(PQ)c=PcQc=(UP)(UQ)
It is De' Morgan law.

Now, just replace U with A, P with B and Q with C.
We will get,
A(BC)=(AB)(AC)

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