Part A Prove the following theorem using either regular or strong induction. Theorem: Suppose that n ≥ 2 people are at a gathering. Every person shakes hands with every other person, but not themselves. Then, the number of total handshakes which occur is n(n-1)
Part A Prove the following theorem using either regular or strong induction. Theorem: Suppose that n ≥ 2 people are at a gathering. Every person shakes hands with every other person, but not themselves. Then, the number of total handshakes which occur is n(n-1)
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 42E
Related questions
Question
Solve this problem using induction.
![Part A
Prove the following theorem using either regular or strong induction.
Theorem: Suppose that n ≥ 2 people are at a gathering. Every person shakes hands with
every other person, but not themselves. Then, the number of total handshakes which occur is
n(n-1)
2
Part B
In Part A, did you use regular or strong induction? Describe the specific feature(s) of your
proof that distinguish which one you used.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F385eb8fb-6648-4df6-8047-4f830c46ad3b%2F519b5ef6-5b0c-4189-9382-f45d751377f2%2F0esl466_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Part A
Prove the following theorem using either regular or strong induction.
Theorem: Suppose that n ≥ 2 people are at a gathering. Every person shakes hands with
every other person, but not themselves. Then, the number of total handshakes which occur is
n(n-1)
2
Part B
In Part A, did you use regular or strong induction? Describe the specific feature(s) of your
proof that distinguish which one you used.
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