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Question

If A,B and C are three sets, then what is A-(B-C) equal to?


A

A-(BC)

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B

(A-B)C

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C

(A-B)(AC)

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D

(A-B)(A-C)

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Solution

The correct option is C

(A-B)(AC)


Explanation for the correct option:

We can see the Venn-diagram of A-(B-C).

In the above Venn diagram, shaded area shows A-(B-C)

In the above Venn diagram, horizontal lines mean (AB) and vertical lines mean (AC)

Total shaded portion =(A-B)(AC).

Hence, the option is(C) correct.


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