Question

For the given set, first calculate the number of subsets for the set, then calculate the number of proper subsets. {18, 8, 14, 9,6} The number of subsets is

Answer 1

Answer:

Subsets of the given set = 32

Proper subset of the given set = 31

Step-by-step explanation:

Given set is {18, 8, 14, 9, 6} having 5 elements.

We know number of subsets of a set having n elements are represented by

$2^{n}$

where n is the number of elements in the set.

Therefore, subsets of the given set = $2^{5}$

= 32

Since original set itself is a subset of its own, is not a proper subset.

Therefore, proper subset of a set = $2^{n}-1$

= $2^{5}-1$

= 32 - 1

= 31