Question

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

Answer 1

If not is the number of elements in a set, then number of subsets of that set = 2power n
given number of subsets of set A is 16 then number of elements = 4

Answer 2

Answer:

Number of elements in a set=4

Step-by-step explanation:

We are given that a set whose total number of subsets are 16.

We have to find the total number of elements in a set

To find the number of elements of a set we will use formula of finding number of a set contain n elements

if a set contain n elements then total number of subsets is given by the formula =$2^n$

Now, using this formula

$16=2^n$

$2^4=2^n$

When base on both sides of equal to are equal then power should be equal

Therefore,n=4

Hence, total number of elements of a set =4