# Possibilities

• April 19th 2008, 10:05 AM
Possibilities
Hello,

I don't know how to work out this problem...

There are 12 football matches each with 3 outcomes. Each match either ends up with the A team winning, the B team winning or they both draw.

How many total possibilities are there?

You have 3 possibilities for each of 12 trials. This gives you $\underbrace{3\times3\times3\times\ldots\times3}_{1 2 \; times}=3^{12}=531441$