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Finger Math: Tennis Anyone? #869000
02/18/13 11:14 AM
02/18/13 11:14 AM
Joined: Apr 2005
Posts: 37,661
Alabama
soot Offline OP
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soot  Offline OP
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Sonic Boomer

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Alabama
One hundred and thirty-seven men have signed up for an elimination tennis tournament. All players are to be paired for the first round, but because 137 is an odd number one player gets a bye, which promotes him to the next round. The pairing continues on each round, with a bye to any player left over. If the schedule is planned so that a minimum number of matches is required to determine the champion, how many matches must be played?

sherlock

Last edited by soot; 02/19/13 11:25 PM.

Dan
...
To learn, read...To know, write...To master, teach...To live, play games & listen to whale music Stay Smart & Stay Safe
Re: Finger Math: Tennis Anyone? [Re: soot] #869006
02/18/13 11:31 AM
02/18/13 11:31 AM
Joined: Jul 2002
Posts: 29,024
Unionville
manxman Offline
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Unionville
136 (the number of people who lose)


Sometimes lost is where you need to be. Just because you don't know your direction doesn't mean you don't have one.
Re: Finger Math: Tennis Anyone? [Re: soot] #869276
02/19/13 09:02 PM
02/19/13 09:02 PM
Joined: Apr 2006
Posts: 4,944
Nova Scotia
Flo NS Offline
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Flo NS  Offline
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Nova Scotia
1st round 68 matches w/bye
2nd round 17 matches w/bye
3rd round 9 matches
4th round 4 matches w/bye
5th round 2 matches w/bye
6th round 1 match w/bye
7th round 1 match declaring winner

Total matches 102

Re: Finger Math: Tennis Anyone? [Re: soot] #869297
02/19/13 11:21 PM
02/19/13 11:21 PM
Joined: Apr 2005
Posts: 37,661
Alabama
soot Offline OP
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soot  Offline OP
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Sonic Boomer

Joined: Apr 2005
Posts: 37,661
Alabama
ManXman has the solution .. because 136 players must be eliminated, there must be 136 matches

wave


Dan
...
To learn, read...To know, write...To master, teach...To live, play games & listen to whale music Stay Smart & Stay Safe
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