Question

)The number of elements in power set {1, 2, 3} is
(a) 4
(b) 6
(c) 8
(d) 9

Answer 1

(c) 8

Explanation:

The number of elements in a power set = the number of subsets of a set

Formula:

Let S be a sent ,the number of elements of the power set of S =

`2^{\text{card(S)} }`

Where card(S) = number of element of S itself.

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In this case :

Card(S) = 3

Then

the number of elements of the power set of S =

`2^(3)=8`