You can
put this solution on YOUR website! A team plays 15 games a season. How many ways are there to
end up with 6 wins and 9 losses for the season.
There are two ways to work the problem:
First way:
There are 15 games, Choose 6 to win. (The rest are losses)
Answer: 15C6 = 5005 ways.
Second way:
There are 15 games, Choose 9 to lose. (The rest are wins)
Answer: 15C9 = 5005 ways.
Notice that 15C6 = 15C9. It doesn't matter whether you choose
the wins or the losses. The ones you don't choose for wins will
automatically be losses, or vice-versa.
Edwin
