There are 3 different trails to Hidden Meadow, 5 trails to get to Alpine Lake, and 2 trails to get back home. How many different routes can you take?

Question

This is homework. How would you solve this. I know there are a lot of different combinations but I can't get them all.

Answer 1

To figure out all the combinations for something like this all you would have to do is multiply the number of possibilities from each set. So there are three different groups here, the first with 3 possibilities, the second with 5 possibilities, and the third with 2 possibilities, so we would have to multiply 3x5x2 to get our answer of 30.