All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 The Tournament (Posted on 2004-06-15)
In a basketball tournament, there are teams named 1 through 8, such that a lower number team is better than a higher numbered team. (1 is best, 2 is second best... 8 is worst) Also, a better team will always win over a worse team. (There are no upsets)
```
?-\__
?-/  |
|--\
?-\__|  |
?-/     |
|-WINNER
?-\__   |
?-/  |  |
|--/
?-\__|
?-/
```
Here is the grid for the tournament

If the better team always wins (there are no upsets) and if the pairing is completely random, what is the easiest way to figure the probability that team 2 doesn't win second place?

 See The Solution Submitted by Gamer Rating: 2.4000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: So why not do it the hard way? WHY NOT EVEN HARDER | Comment 4 of 12 |
(In reply to So why not do it the hard way? by Jer)

If you insist:
Divide 8 initial placesinto 2 halves A & B
For teams 1 and two to be in half A there are 4*3 possibilities,same to be in B;
ERGO- 24 possibilities to be in the same half/
The remainig 6 teams ars dispersed in 6! ways

Allexisting arrangments : 8!

24*6!/8!=24/56=3/7

There so many ways to skin a cat....
ady
 Posted by Ady TZIDON on 2004-06-15 12:05:18

Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information