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Question

If A={1,2,3,4} & B={2,4,6}. Then, the number of set ‘C’ such that ABCAB is


A

6

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B

9

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C

8

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D

10

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Solution

The correct option is C

8


Explanation for the correct option:

Finding number of set:

Given,

A={1,2,3,4}B={2,4,6}

AB={1,2}AB={1,2,3,4,6}

Now,

ABCAB{1,2}C{1,2,3,4,6}C={2,4},{1,2,3,4,6},{2,4,1},{2,4,3},{2,4,6},{2,4,1,3},{2,4,1,6},{2,4,3,6}

Number of set =8

Hence, correct answer is (C)


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