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Question

Consider the following statements: For non empty sets A,Band C.

1.A(BC)=(AB)C2.A(BC)=(AB)C

Which of the statements given above is/are correct?


A

1only

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B

2only

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C

Both 1and 2

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D

Neither 1nor 2

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Solution

The correct option is B

2only


The explanation for the correct option :

Step 1. Draw the venn diagram :

Let there be three non-empty sets A,BandC inside a universal set U .

We have marked 8 regions as a,b,c,d,e,f,g,h.

Step 2. Check Statements :

Statement 1:A(BC)=(AB)C

LHS represents region a , RHS represents a,d,g.

Hence, this is not correct.

Statement 2:A(BC)=(AB)C

LHS represents, region a RHS also represents a .

Thus, only statement 2 is correct.

Hence, the correct option is B.


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