16 people are in a tennis club. A doubles tennis match consists of two teams of 2 people playing against each other. What is the smallest number of matches that can be played so that everyone gets to play on team with every other member of the tennis club?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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16 people are in a tennis club. A doubles tennis match consists of two teams of 2 people playing against each other. What is the smallest number of matches that can be played so that everyone gets to play on team with every other member of the tennis club?

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