Question

For the given set, first calculate the number of subsets for the set, then calculate the number of proper subsets. {18, 12, 17, 16, 0}

a. 32, 31
b. 16, 15
c. 64, 63
d. 128, 127

Answer 1

The number of subsets for the given set is 32, and the number of proper subsets is 31.

Step-by-step explanation:

To calculate the number of subsets for a set with n elements, we use the formula 2^n. In this case, the given set has 5 elements, so the number of subsets is 2^5 = 32.

To calculate the number of proper subsets, we subtract 1 (the empty set) from the total number of subsets. Therefore, the number of proper subsets is 32 - 1 = 31.