Mysql: using case condition when selecting variable list from table

I have a large table and need to select some variables. First, this is the table structure:

gamecode---team---player---won

1---TeamA---TeamAPlayer1---1
1---TeamA---TeamAPlayer2---1
1---TeamA---TeamAPlayer3---1
1---TeamB---TeamBPlayer1---0
1---TeamB---TeamBPlayer2---0
2---TeamA---TeamAPlayer1---0
2---TeamA---TeamAPlayer2---0
2---TeamB---TeamBPlayer1---1
3---TeamC---TeamCPlayer1---0
3---TeamD---TeamDPlayer1---1
3---TeamD---TeamDPlayer2---1
4---TeamB---TeamBPlayer1---1
4---TeamD---TeamDPlayer1---0

That is, Won is a dummy variable that takes 1 if that team won the game, and 0 otherwise.

And now, my purpose: I want to count, grouping by team or by player the number of victories. I don't want to include that in the WHERE clause, but in the SELECT part, as the number of victories is only one among many others I want to collect with the same SELECT.

I tried this:

SELECT count(distinct gamecode*won) as victories FROM Mytable WHERE <conditions>

But with that select a team that lost all the games will count for 1 victory, since all gamecodewon will equal zero. And all teams winning and loosing some games will count one more victory that they have, as all games lost will result on a 'zero' value for gamecodewon variable.

What about including CASE in the SELECT, something like:

SELECT count(distinct case when gamecode*won is not 0 then 1 else 0 end) FROM Mytable WHERE <conditions>

Of course this does not work. Any suggestions? Thanks to everybody.

The expected result set would be, in case I group by team:

team---victories
TeamA---1
TeamB---2
TeamC---0
TeamD---1

That is, TeamA won only gamecode 1 and lost gamecode 2; TeamB won gamecode 2 and gamecode 4, while lost gamecode 1; TeamC won no game and lost gamecode 3; finally, TeamD won gamecode 3 and lost gamecode 4.