Question 90821
Hi,<br />

The first thing you do is go from A to B. There are 9 different paths to take, right?<br />

Then you go from B to C and there are 8 different paths to take, right?<br />

Now you must go back from C to B. There are eight paths, but you already travelled along one of them to get from B to C, and you can't retrace your steps, so that leaves 7 paths to choose.<br />

Finally you must get from B back to A. There are 9 paths to use but you've already used 1, so there are 8 left that you can actually take.<br />

So there are 9*8*7*8 which is 4032 different ways to go.<br />

Kev