course (discrete structures)   Recall question 2 from Tutorial 3 (Pigeon-Hole Principle), where we have a round-robin chess tournament for 150 players, each of whom play 7 games. We showed that since there are 20 possible first moves for White and 20 possible first moves for Black in response, that there must be two different games in the tournament that begin with the same first two moves. For which of the following changes would this result still be true?   Question 1 options:   a)  each player played 6 games instead of 7   b)  each player played 8 games instead of 7   c)  there were 200 players instead of 150 (and each played 7 games)   d)  there were 100 players instead of 150 (and each played 7 games)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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course (discrete structures)

 

Recall question 2 from Tutorial 3 (Pigeon-Hole Principle), where we have a round-robin chess tournament for 150 players, each of whom play 7 games. We showed that since there are 20 possible first moves for White and 20 possible first moves for Black in response, that there must be two different games in the tournament that begin with the same first two moves.

For which of the following changes would this result still be true?

 

Question 1 options:

 

a) 

each player played 6 games instead of 7

 

b) 

each player played 8 games instead of 7

 

c) 

there were 200 players instead of 150 (and each played 7 games)

 

d) 

there were 100 players instead of 150 (and each played 7 games)

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