Answer to June 4, 2001 Problem |
---|
Super Arcade Champion |
---|
To be champion, a player must win 2 consecutive games; or
The scorekeeper must keep track of who wins each game, and in what order.
In other words,
if there are two players, in how many different ways can one of them be
champion (for example, player one winning the first two games is one
outcome; player two winning the first, third and fourth games is another).
|
|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Solution to Problem: The answer is 14 different outcomes.
Letting F represent the first player and S represent
the second player, all fourteen different outcomes are listed below:
|
1. Richard K. Johnson | La Jolla, California |
2. Keith Mealy | Cincinnati, Ohio |
3. Ricki Stern | Highland Park, New Jersey |
4. Rick Jones | Kennett Square, Pennsylvania |
5. Walt Arrison | Philadelphia, Pennsylvania |
6. Joe Heintz | Manchester, Tennessee |
7. Renata Sommerville | Austin, Texas |
8. Gusti Oggenfuss | Montet, Switzerland |
9. Kirstine Wynn | Winchester, Virginia |
10. David and Judy Dixon | Bennettsville, South Carolina |