ables. For example, if Chip is connecting computers A, B, C, and D, together, he must make connections between AB, AC, AD, BC, BD, and CD. Write an inductive proof to prove the following statement: Suppose n is a positive integer. Connecting n computers requires n(n−1)/2 connections
ables. For example, if Chip is connecting computers A, B, C, and D, together, he must make connections between AB, AC, AD, BC, BD, and CD. Write an inductive proof to prove the following statement: Suppose n is a positive integer. Connecting n computers requires n(n−1)/2 connections
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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Chip is working IT for his friend Melinda, who is the CEO of a multi-billion dollar company. A huge part of Chip’s job is to PHYSICALLY connect pairs of computers together by ethernet cables. For example, if Chip is connecting computers A, B, C, and D, together, he must make connections between AB, AC, AD, BC, BD, and CD.
Write an inductive proof to prove the following statement:
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Suppose n is a positive integer. Connecting n computers requires n(n−1)/2 connections.
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