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Given a set of four elements, the power set consists of ____ elements.

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Given a set of four elements, the power set consists of ____ elements.

(a) four

(b) eight

(c) twelve

(d) sixteen

I got this question in an online interview.

I'm obligated to ask this question of Interface Technologies topic in chapter Software Defined Radio Architecture of Cognitive Radio

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Correct answer is (d) sixteen

To explain I would say: Given a set with X number of elements, the power set consists of 2^X number of elements. The given statement includes four singletons, six doubletons, four triplets, the set itself and an empty set.

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