Discussion topic: Puzzles & Brain Teasers : Football Matches
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Page 1 of 1  From: syvum  Reply 1 of 2  Reply   Subject: Puzzles & Brain Teasers : Football Matches  Discuss this puzzle with other Syvum members in this forum. If you have
alternative solution procedures, or questions about this puzzles, feel free
to post them here. Posted at: Sun Jul 13 03:39:21 2003 (GMT)

From: buttafucco  Reply 2 of 2  Reply   Subject: alternative solution  Problem seems to be a combination. Using the nCr(n!/(r!(nr)!) notation,
and knowing that we are choosing 2 teams at a time, the formula for 78 games
would reduce to:
78 = n!/(2!(n2)!)
if imagining a fraction bar would look like:
78 = n!
2!(n2)!
which equals 78*2! = n!/(n2)!
which equals 156 = n!/(n2)!
which equals 156 = n(n1) =====> imagine 5!/(52)! = 120/6
which is 5*4
then you have n^2  n  156 = 0
which can be factored to (n13)(n+12) = 0
so n = 13
(n = 12 is ignored because you cannot have negative teams)
Posted at: Fri Feb 11 18:19:28 2005 (GMT)

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