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If a set A has n elements, then the total number of subsets of A is?

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If a set A has n elements, then the total number of subsets of A is?

(a) N

(b) 2^n

(c) N^2

(d) 2n

This question was addressed to me during a job interview.

This interesting question is from Relations topic in chapter Compiler Introduction of Compiler

1 Answer

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Right choice is (b) 2^n

Explanation: Number of subsets of A = ^nC0 + ^nC1 + . . . . . + ^nCn = 2^n.

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