Question

If set A has 9 elements inside it, how many subsets are possible?

A) 18
B) 256
C) 512
D) 1024

Answer 1

The number of possible subsets for set A with 9 elements is calculated using the formula 2 to the power of the number of elements, which gives us 2 to the power of 9, equaling 512 subsets.

Step-by-step explanation:

To determine the number of possible subsets of set A which contains 9 elements, we use the formula for the number of subsets of a set, which is 2n, where n is the number of elements in the set. In this case, n = 9, so we calculate 29.

29 = 512

Therefore, the correct answer is C) 512 possible subsets for a set with 9 elements.