Question

Which of the following cannot be the number of elements
in the power set of any finite set?
(a) 26 (b) 32 (c) 8 (d) 16

Answer 1

Answer:

b) 26

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Step-by-step explanation:

Answer 2

Answer:

The correct answer of this question is $26$

Step-by-step explanation:

Given -  The number of elements in the power set of any finite set.

To Find - Which of the following cannot be the number of elements

in the power set of any finite set?

(a) 26 (b) 32 (c) 8 (d) 16

$26$ is the number of elements in the power set of any finite set.

The number of elements in P(S) is 2n for S with n elements. Because each element has two states (present or missing), the number of potential subsets is 222.. n times = 2n. As a result, the power set has 2n elements.

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