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attashe74 [19]
3 years ago
14

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
Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

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

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