If you have 22 different teams, how many different outcomes could there be?

Question

 I am trying to figure this out for hours!!

 

 

If you have 11 different football games, which means 22 different teams, how many different outcomes could there be? Using all 11 games and22 teams at once if you wanted to guess all 11 of the correct outcomes how many different outcomes are possible(losing or winning)?

Answer 1

The outcome of a game is win, lose, or draw (W, L, D). 11 games, 22 teams means that no team plays more than one game. Since three are 3 outcomes for each game the total number of outcomes is 3¹¹=177,147 ranging from all games won to all drawn.

If a draw is counted as a non-win, then the number of outcomes of 11 games played simultaneously is 2¹¹=2,048 ranging from all 11 games won to all no-wins. The chances of guessing the win/no-win result of all 11 games is 1/2048.