Concept explainers
To calculate: the numbers of subsets that the set has, without listing each subset of a set.
Answer to Problem 50PPE
The numbers of subsets that the set has:
Explanation of Solution
Given information:
Without listing each subset of a set, determine the number of subsets that the set has.
Calculation:
Consider a set
Then the subsets of
So, the number of subsets is
Consider a set
Then the subsets of
Here, the number of subsets is
Consider a set that contains three elements.
Then the subsets of
Here, the number of subsets is
Similarly on continuing in this process, conclude that the number of subsets that a set can have is given by
For example, consider the set
By the above statement, the numbers of subsets are:
Chapter 3 Solutions
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