Asked by Em
Let n be any counting number. Using the two questions above as a guide, how
many subsets does the set {1,2,3,...,n−1,n} have? Prove it as well.
First question:Including itself, how many subsets does the set {1, 2, 3} have? List them.
Second Question: Including itself, how many subsets does the set {1, 2, 3, 4} have? List them.
many subsets does the set {1,2,3,...,n−1,n} have? Prove it as well.
First question:Including itself, how many subsets does the set {1, 2, 3} have? List them.
Second Question: Including itself, how many subsets does the set {1, 2, 3, 4} have? List them.
Answers
Answered by
Steve
This is called the power set.Any set of n elements has 2^n subsets.
Just sum all the powers of 2 from 0 to n-1
Just sum all the powers of 2 from 0 to n-1
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