Answer to Question #272245 in Statistics and Probability for fghj

Question

Town M and town N are connected by two roads while town N and town P are connected by five roads. How many different routes are there from town M to town P through town N? State your solution and explain

Answer 1

There are 2 different roads connecting town M and town N. This shows that there are $k=2$ different routes from M to N.

There are 5 different roads connecting town N and town P. Thus, there are $r=5$ different routes from N to P.

Therefore, there are $k*r=2*5=10$ different routes from town M to town P through town N.