Finite Question

Question

Assume that there are 6 routes from Denver to Dallas, 2 routes from Dallas to Orlando, and 6 from Orlando to Los Angeles.

In how many ways can merchandise be shipped from Denver to Los Angeles using these routes?

Answer 1

Each of the 6 routes from Denver to Dallas has 2 options to got to Orlando. So there are 12 different options to go from Denver to Orlando. From Orlando to LA there are 6 options for each of these 12 routes. So total number of routes is 12 times 6 = 72