Mary, Jimmy, Jackson, Susan and Jeff are rank from #1 to #5 in playing ping pong in a class. Teacher wants to finalize the best player and arrange some games to be played each between two players. The rules are once a player lost a game then no more completion for the player, the other rule is a player always plays with the nearest rank player who is still in the competition and once the competition starts the rank never get changed.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Mary, Jimmy, Jackson, Susan and Jeff are rank from #1 to #5 in playing ping pong in a class.

Teacher wants to finalize the best player and arrange some games to be played each between two players.

The rules are once a player lost a game then no more completion for the player, the other rule is a player always plays with the nearest rank player who is still in the competition and once the competition starts the rank never get changed.

What is the maximum number of ways for all these players to play?

 

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