Math CentralQuandaries & Queries


Question from Shawn:

Hello, I am trying to solve a problem which is how many ways can you travel from
A to D. A has 4 options, B has 3, C and you get to D. How many ways are there?


Hi Shawn,

I drew a diagram of the ways to get from A to B and then from B to C.

A to B to C

There are 4 roads from A to B and whichever one you choose you then have 3 roads to choose from to get to C. Hence there are $4 \times 3 = 12$ ways to get from A to C.

Now add D to the diagram. How many roads are there from C to D? You didn't say.

How many ways are there to get from A to D?


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