To be champion, a player must win 2 consecutive games; or
if each player wins 3 games, the winner of the 7th game is champion.
The scorekeeper must keep track of who wins each game, and in what order.
How many different outcomes can she record?
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).
Letting F represent the first player and S represent
the second player, all fourteen different outcomes are listed below:
| 1st Gm | 2nd Gm | 3rd Gm | 4th Gm | 5th Gm | 6th Gm | 7th Gm |
| F | F | |||||
| F | S | S | ||||
| F | S | F | F | |||
| F | S | F | S | S | ||
| F | S | F | S | F | F | |
| F | S | F | S | F | S | F |
| F | S | F | S | F | S | S |
| S | S | |||||
| S | F | F | ||||
| S | F | S | S | |||
| S | F | S | F | F | ||
| S | F | S | F | S | S | |
| S | F | S | F | S | F | F |
| S | F | S | F | S | F | S |
| 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 |