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Question

Assertion :The power set of a set A contains 128 elements then number of elements in set A are 7. Reason: Number of subsets of a set A having n elements is equal to 2n.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
If A={1,2,3...n}
Number of subsets of A=2n
2n=128 ( Power set is the set of all subsets of A)
or 2n=27
Number of elements in sets A=7
Assertion (A) and Reason (R) both are correct and Assertion is correctly explained by Reason

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