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Unread 29-03-2012, 11:54
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Scheduling Combinatorics Quiz


40 teams show up for an imaginary FRC competition.

Ignoring alliance colors, all possible matches are played.

Questions:

1) How many matches are played?

2) How many matches does any given team play?

3) How many times do any 2 given teams play WITH each other?

4) How many times do any 2 given teams play AGAINST each other?


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Unread 29-03-2012, 11:58
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Re: Scheduling Combinatorics Quiz

3 teams per alliance?
2 alliances per match?
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Unread 29-03-2012, 11:59
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Re: Scheduling Combinatorics Quiz

Quote:
Originally Posted by Nate Laverdure View Post
3 teams per alliance?
2 alliances per match?
Yes. FRC.


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Unread 29-03-2012, 17:50
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Re: Scheduling Combinatorics Quiz

Spoiler for Lazy Approach:

(40 Choose 3)(37 Choose 3)/2
(39 Choose 2)(37 Choose 3)
(38 Choose 1)(37 Choose 3)
(38 Choose 2)(36 Choose 2)
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Unread 29-03-2012, 18:38
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Re: Scheduling Combinatorics Quiz

Quote:
Originally Posted by EricVanWyk View Post
.
Nicely done !


Spoiler for 1, 3, & 4 could also be calculated using::

1) 40C6*6C3/2

2) same as yours

3) (ans#2)(2)/39

4) (ans#2)(3)/39
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