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Question

A(BC)=

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 A (AB)(AC)
We have A(BC)=(AB)(AC)(1)
Let us use Venn diagrams in understanding this.
Consider three sets A, B and C.
Then,
The third figure represents the LHS of (1).
Now, consider
and Thus, LHS=RHS.

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