213k views
0 votes
If a set has 1,024 subsets, how many elements does it have?

1 Answer

0 votes

Answer:

If a set has 1,024 subsets,then it has 10 elements

Explanation:

If A is a set containing n elements then total numbers of subsets of A are
2^n

Here, we are given that


2^n=1024

We know that


1024=2^(10)

i.e.
2^n=2^(10)

Hence, n=10

Hence, If a set has 1,024 subsets,then it has 10 elements

User Mehmet Kaplan
by
6.9k points