11 (Combinatorics] Prove by mathematical induction that every n-member set has 2" subsets. (Hint: In step B, when a new member is added to a k-member set, every subset of the resulting (k 1member set either contains the new member, or does not contain it.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 35E
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11 (Combinatorics]
Prove by mathematical induction that every n-member set has 2" subsets.
(Hint: In step B, when a new member is added to a k-member set, every subset of the resulting
(k 1member set either contains the new member, or does not contain it.)
Transcribed Image Text:11 (Combinatorics] Prove by mathematical induction that every n-member set has 2" subsets. (Hint: In step B, when a new member is added to a k-member set, every subset of the resulting (k 1member set either contains the new member, or does not contain it.)
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