Question

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

Answer 1

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^n2

n

Now, using this formula

16=2^n16=2 ^n

2^4=2^n2 =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

Answer 2

Answer:

The subset of A is 8