Question

Given that number of subsets of a set A is 16. Find the number of elements.​

Answer 1

Answer:

Number of subsets of set = 2^number if elements in a set.

Let number of elements in set = x

2^x = 16 = 2⁴

Hence x= 4

Please follow me and mark this answer as Brainlist You will also earn points by this.

Answer 2

The number of elements in set A is 4

Explanation:

We know that ,

If a finite set P has n elements , then the number of subsets of set P will be $2^n$.

Given : The number of subsets of a set A is 16.

Let the number of elements in A be n , then

$2^n=16\\\\ 2^n=2^4\\\\ n=4$

Hence, the number of elements in set A is 4.

# Learn more :

What is the total number of proper subsets of a set containing n element?

https://brainly.in/question/2810853