SOLUTION: The Columbus Crew are playing the D.C. United in a best three-out-of-five championship soccer series. What are the possible outcomes of the series? How many ways can D.C. United

Question 28791: The Columbus Crew are playing the D.C. United in a best three-out-of-five championship soccer series.
What are the possible outcomes of the series?
How many ways can D.C. United win the championship?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I count 10 ways that either of the teams could win
there are 4 ways that either teams could win without going to a 5th game
-------------------
w---w---w
w---w---l---w
w---l---w---w
l---w---w---w
-------------------
I count 6 ways either team could win in 5 games
-------------------
l---l---w---w---w
l---w---l---w---w
l---w---w---l---w
w---w---l---l---w
w---l---w---l---w
w---l---l---w---w
--------------------
A losing outcome like
w---l---w---l---l
just means the other team won with opposite results
l---w---l---w---w
which is one of the 10 winning outcomes
since both teams have 10 possible ways to win, there are 20 possible outcomes
and dc United can win 10 possible ways
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