# Tree Diagram (Data Management)

• Feb 7th 2008, 04:48 PM
nav
Tree Diagram (Data Management)
Hi,

Draw a tree diagram representing the playoffs of eight players in a singles tennis tournament. The tree diagram should show the winner of each game continuing to the next round until a champion is decided.

i have drawn a tree diagram but i am not sure if that is correct.. so juss seeking some help here..
• Feb 8th 2008, 05:08 AM
colby2152
Quote:

Originally Posted by nav
Hi,

Draw a tree diagram representing the playoffs of eight players in a singles tennis tournament. The tree diagram should show the winner of each game continuing to the next round until a champion is decided.

i have drawn a tree diagram but i am not sure if that is correct.. so juss seeking some help here..

Using seeds as my example, with the better ranked person always winning..

1)
8) .... 1)

4) .... 4) .... 1)
5)
........................... 1)
2)
7) .... 2) .... 2)

3) .... 3)
6)

You can determine the number of teams or rounds in a single elimination one on one playoff by using this equation:

$Teams=2^{rounds}$

In this scenario...

$8=2^3$