The number of elements of the power set of a set containing $n$ elements is

2^{n - 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2^{n}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

2^{n} - 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2^{n + 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $2^{n}$
If there is a finite number of n elements in $A,$ then the power set $P (A)$ has $2^{n}$ elements.
Hence option $B$ is the correct answer.

Suggest Corrections

Similar questions

A set contains (2n+1) elements. The number of sub-sets of the set which

contain at most n elements is

(2 n + 1)

n

A set contains $(2 n + 1)$ elements. The number of subsets of this set containing more than $n$ elements is equal to

Join BYJU'S Learning Program