Question

Consider the set below.
A = {1,2,3,4,5,6,7,8}
How many subsets does A have?

Answer 1

To find the number of subsets for set A with 8 elements, we use the formula 2 to the power of the number of elements, resulting in 256 subsets.

Step-by-step explanation:

The number of subsets that can be formed from a set is given by 2 raised to the power of the number of elements in the set. In this case, the set A has 8 elements: A = {1,2,3,4,5,6,7,8}. Therefore, the number of subsets for set A is 28, which equals 256. This includes the empty set and the set itself.

Here's how to calculate it:

1. 
   
3. Count the number of elements in the set A, which is 8.
4. 
   
6. Use the formula for the number of subsets, which is 2 to the power of the number of elements in the set.
7. 
   
9. Calculate 28 to get the number of subsets.
10. 
    
12. The result is 256, meaning there are 256 possible subsets for set A.