Find the number of proper subsets of the set.
-{poetry, drama, speech, art, film}
A)24
B)16
C)31
D)32

Question

Quizplus · Accepted Answer

A proper subset of a set is any subset of the set that is not the set itself. The total number of subsets of a set with n elements is 2^n. Since the given set has 5 elements, the total number of subsets is 2^5 = 32. However, since we are looking for the number of proper subsets, we exclude the set itself from this count, leaving us with 32 - 1 = 31 proper subsets.

Find the Number of Proper Subsets of the Set