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twietee

macrumors 603
Jan 24, 2012
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@ Happybunny: just received an e-mail from the UEFA: if you, or anybody else, are interested in the EL final in Amsterdam: they started selling tickets (about two days ago, or so).
 

Happybunny

macrumors 68000
Sep 9, 2010
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@ Happybunny: just received an e-mail from the UEFA: if you, or anybody else, are interested in the EL final in Amsterdam: they started selling tickets (about two days ago, or so).

I'll be on holiday in the USA/Canada at that time.I mean the date of the Final in May 2013.
 
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Cox Orange

macrumors 68000
Jan 1, 2010
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I am not a friend of conspiracy theories, but did anybody here about the election of the CL pairs?

The BBC was there, when they did a test run and the result was the same as the result that was later drawn out of the bowls live. "Der Spiegel" has calculated that the chance of that happening twice is (that all pairs match) is 1:5400 something.
 

twietee

macrumors 603
Jan 24, 2012
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I am not a friend of conspiracy theories, but did anybody here about the election of the CL pairs?

The BBC was there, when they did a test run and the result was the same as the result that was later drawn out of the bowls live. "Der Spiegel" has calculated that the chance of that happening twice is (that all pairs match) is 1:5400 something.

You've seen the comments below the Spiegel article? 30 pages full of arguing methematicians* :D....Given all the limiting factors, I guess the chances are somewhat higher, still I do believe in manipulation, but maybe not this time.


*mathematicians
 

Happybunny

macrumors 68000
Sep 9, 2010
1,792
1,389
Loting kwartfinales KNVB-beker

Vitesse - Ajax
PSV - Feyenoord
FC Den Bosch - AZ
PEC Zwolle - Heracles Almelo

To be played on the last weekend of January weather permitting.

PEC stand a really good chance of progressing to the next round.

But the really tasty duels are Vitesse/Ajax and PSV/Feyenoord.
 

swiftaw

macrumors 603
Jan 31, 2005
6,328
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Omaha, NE, USA
I am not a friend of conspiracy theories, but did anybody here about the election of the CL pairs?

The BBC was there, when they did a test run and the result was the same as the result that was later drawn out of the bowls live. "Der Spiegel" has calculated that the chance of that happening twice is (that all pairs match) is 1:5400 something.

You've seen the comments below the Spiegel article? 30 pages full of arguing methematicians* :D....Given all the limiting factors, I guess the chances are somewhat higher, still I do believe in manipulation, but maybe not this time.


*mathematicians

The chance of a getting a specific drawing (matching the practice drawing in this case) is 1 in 2,027,025. (and yes, I am a mathematician).
 

twietee

macrumors 603
Jan 24, 2012
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The chance of a getting a specific drawing (matching the practice drawing in this case) is 1 in 2,027,025. (and yes, I am a mathematician).

Care to share the equation? I assume you respected all the limiting factors (group leaders will play away first, no teams from the same country can play against each other etc.)?
 

swiftaw

macrumors 603
Jan 31, 2005
6,328
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Care to share the equation? I assume you respected all the limiting factors (group leaders will play away first, no teams from the same country can play against each other etc.)?

Darn, no, forgot about those. Hold on, let me recalculate.

Ok, I got 1 in 17088

Here's my logic.

Firstly, (for the curious) my original incorrect calculation of 1 in 2,027,025 came from simply the number of ways to pair up 16 teams when order is unimportant. The formula would be 16!/(8! * 2^8).

Now, we know that the 16 teams are actually separated into 2 groups of 8, and then 1 team from each group are drawn together. If you ignore country restrictions then the number of ways this can be done is 8! = 40320.

Now, how about the country restrictions. There are 6 possible matchups that would violate the country restrictions, although some are mutually exclusive. Let's label them:

A = Malaga vs Real Madrid
B = Malaga vs Valencia
C = Juventus vs Milan
D = Barcelona vs Real Madrid
E = Barcelona vs Valencia
F = Man U vs Arsenal

Now, we need to know how many of those 40320 ways do not contain any of the 6 above matchups.

The easiest way to do it, is to count how many of the 40320 ways do include at least one of those matchups, and then subtract that number from 40320.

That is, how many arrangements in the set A union B union C union D union E union F?

Using the inclusion/exclusion principle, the size of this union is equal to the sum of the sizes of all the singletons - the sum of the sizes of all the pairwise intersections + the sum of the sizes of all the triple intersections - the sum of the sizes of all the quad intersections + the sum of the sizes of all the 5-event intersections - the sum of the sizes of all the 6-event intersections.

Lets start at the end. Since there are two teams that appear in 2 different events, there is no way that all 6 events can ever happen simultaneously, likewise for any 5 of the 6.

There are 4 different combinations of 2 of the listed matches occurring simultaneously: ACEF, BCDF and each of those can occur in 4! ways since the other 4 matches are free to be drawn in any order.

There are 8 different combinations of 3 of the listed matches occurring simultaneously, and each of those can occur in 5! ways.

There are 11 different combinations of 2 of the listed matches occurring simultaneously, and each of those can occur in 6! ways.

Each of the 6 individual listed matches can occur in 7! ways.

Thus, the number of ways in which at least one of the 6 listed matches occurs is:
(6*7!)-(11*6!)+(8*5!)-(2*4!)+(0*5!)-(0*6!) = 23232

Thus, the number of valid ways (in which none of those 6 matches occur) is 40320-23232 = 17088.
 
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twietee

macrumors 603
Jan 24, 2012
5,300
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Impressive, but I'm no mathemagician, so who knows ;)

Anyway, I should have mentioned as well that the previous eight group-leaders can't play against each other as well. :p
 

swiftaw

macrumors 603
Jan 31, 2005
6,328
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Omaha, NE, USA
Actually, I missed one restriction, that is, that a group leader cannot be drawn against the team that they were in a group with, that reduces the number to

1 in 5463
 

Confuzzzed

macrumors 68000
Aug 7, 2011
1,630
0
Liverpool, UK
Actually, I missed one restriction, that is, that a group leader cannot be drawn against the team that they were in a group with, that reduces the number to

1 in 5463

Can you run some exclusions on the Mayan calendar calculations and possibly come up with a new date whilst you're at it please?
 

Jaffa Cake

macrumors Core
Original poster
Aug 1, 2004
19,801
9
The City of Culture, Englandshire
***** hell Jaffa if you keep this up you're in danger of a place in the "best league in the world".
Blimey. We're level on points with Cardiff at the top and are second only on goal difference, and boast the division's best away record.

If we keep this up, it won't be long before the pundits start taking notice of us and begin saying we don't deserve a place in the Premier League...
 
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swiftaw

macrumors 603
Jan 31, 2005
6,328
25
Omaha, NE, USA
Amazingly kits for the 2013/14 season are starting to appear online. The first is the Chelsea Away jersey, which is very similar to their away jersey from the 1961/62 season.

chelsea-away-shirt-front-600x675.jpg
 

Confuzzzed

macrumors 68000
Aug 7, 2011
1,630
0
Liverpool, UK
Actually, Bruce has got us playing some rather lovely stuff at the moment.

That's what I have seen in highlights shows but the stereotype is hard to get away from especially as it is an easy headline for lazy, mainly London based journalists. Best man at my wedding is a big smoggie and he fears Hull more than Cardiff...
 

Jaffa Cake

macrumors Core
Original poster
Aug 1, 2004
19,801
9
The City of Culture, Englandshire
Bruce certainly seems a lot more chipper these days than during his tenure at Sunderland. I would guess he appreciates being able to do his job away from the continuous media glare that comes with being a Premier League manager.

swiftaw – that Chelsea shirt makes me think old school British athletics...

sebastian_coe_main_2392635b.jpg
 
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