Question

Formula to find the number of subsets of a set that has "n" number of elements. 2 raise 1)to the nth power 2)n squared 3)2 times n 4)All of these

Answer 1

(A)
`2^n`

Explanation:

Given a set with "n" number of elements, the collection of all subsets of the set is referred to as the Power set of the given set.

To find the number of possible subsets of any set, we use the formula:
`2^n`

Take for example the set: A={2,3,4)

A has 3 elements, therefore n=3

The number of possible subsets of A is:
`2^3=8$ subsets`