# In a 7 horse race, Bill thinks horses 1, 4, 6, will be the top 3 horses in the race, but not necessarily in that order. If Bill is correct, how many different outcomes are possible?

##### 1 Answer

Jan 5, 2017

#### Explanation:

It is possible to work out the total number of outcomes that are possible without writing them all out and without using any formulae.

There are 3 different horses which can come first.

There are then 2 different horses which can come second.

There is one horse left to come third.

The number of possible arrangements is therefore:

If there were 4 horses, then the number of different possible outcomes would be