Chess Tournament. Imagine there are 35 people in an elimination chess tournament. In the first round contestants 1 through 34 are paired into 17 games and contestant # 35 receives a "bye" meaning he or she gets to sit out that round. The 17 losers are eliminated from the contest. In the next round the 17 winners and contestant #35 get paired into 9 games. So far 26 games have been played. The contest will continue like this until there is only one winner. 1a) How many total games (not sets of games, or rounds, but total individual games) will be played to select the winner? Show your work (i.e. justify your numerical answer). 1b) Complete the table showing how many total games will be played given various numbers of contestants in the tournament. n = number of contestants, Gn = number of games. I explained the first two for you. You should explain the next two, then you can quit explaining them. n 1 2 3 4 5 6 1 Gn 0 1 Explanation No games need to be played. The only contestant wins. They play each other and one person wins.
Chess Tournament. Imagine there are 35 people in an elimination chess tournament. In the first round contestants 1 through 34 are paired into 17 games and contestant # 35 receives a "bye" meaning he or she gets to sit out that round. The 17 losers are eliminated from the contest. In the next round the 17 winners and contestant #35 get paired into 9 games. So far 26 games have been played. The contest will continue like this until there is only one winner. 1a) How many total games (not sets of games, or rounds, but total individual games) will be played to select the winner? Show your work (i.e. justify your numerical answer). 1b) Complete the table showing how many total games will be played given various numbers of contestants in the tournament. n = number of contestants, Gn = number of games. I explained the first two for you. You should explain the next two, then you can quit explaining them. n 1 2 3 4 5 6 1 Gn 0 1 Explanation No games need to be played. The only contestant wins. They play each other and one person wins.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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