Hi Calypso,

Yes.

Suppose the nodes may be red, green or blue.

Then the combinations may be listed or you could draw a tree diagram

RRR

RRG

RRB

RGR

RGG

RGB

RBR

RBG

RBB

If the first node is Red, then there are 3(3) combinations.

We triple this to account for the first node being Green or Blue.