Washington Nationals First-Place Clinch Scenario

Washington does not have a first-place clinch number

Here is a scenario in which Washington wins all 13 of their remaining games (75 total) but does not but does not clinch first place.

Team             W	L	PCT	GB
Philadelphia     95	67	0.586	0.00
New York         83	79	0.512	12.00
Washington       75	87	0.463	20.00
Miami            70	92	0.432	25.00
Atlanta          66	96	0.407	29.00

To construct the scenario, we start with the current standings in the division:
Team             W	L	GL	PCT	GB
Philadelphia     89	61	12	0.593	0.0
New York         77	73	12	0.513	12.0
Miami            70	80	12	0.467	19.0
Atlanta          66	83	13	0.443	22.5
Washington       62	87	13	0.416	26.5

Next, we show how the remaining series of games in the division play out in the scenario:

Atlanta has won the season series with Miami 8 games to 5.
Atlanta has won the season series with New York 8 games to 5.
Miami has won the season series with Washington 7 games to 6.
New York has won the season series with Philadelphia 7 games to 6.
Philadelphia has won the season series with Atlanta 8 games to 5.
Philadelphia has won the season series with Washington 8 games to 5.

New York currently has 5 wins against Miami and 5 losses.
  New York wins 3 additional games against Miami and loses 0.
  New York wins the series 8 games to 5

Philadelphia currently has 7 wins against Miami and 3 losses.
  Philadelphia wins 3 additional games against Miami and loses 0.
  Philadelphia wins the series 10 games to 3

Washington currently has 3 wins against Atlanta and 3 losses.
  Washington wins 7 additional games against Atlanta and loses 0.
  Washington wins the series 10 games to 3

Washington currently has 4 wins against New York and 6 losses.
  Washington wins 3 additional games against New York and loses 0.
  Washington wins the series 7 games to 6

Atlanta wins 0 games agains teams outside the division and loses 6.
Miami wins 0 games agains teams outside the division and loses 6.
New York wins 3 games agains teams outside the division and loses 3.
Philadelphia wins 3 games agains teams outside the division and loses 6.
Washington wins 3 games agains teams outside the division and loses 0.

Combining the current standings with the wins and losses from the scenario results in the final standings listed above.
# Washington Nationals' magic number
# Washington's magic number
# Nationals' magic number
# MLB Playoff Race