Timmy is a bee He lives in the honeycomb shown below Timmy w

Timmy is a bee. He lives in the honeycomb shown below

Timmy would like to crawl from cell A to cell S. Assuming he does not visit any cell twice. How many ways can he do this?

can you please help me with this question including Mathematica explanation where applicable. its worth 60 points

thank you.

Benus skena Timmy is a ee He lives in the honey cemb w da uke to crawl form celu A ceu s Assuming he oes not visit any ceLL ce many ways

Solution

The bee can reach the last cell S starting from A without visiting any other cell more than one in that row in 2 different ways.

As B is next to A then he can crawl into B and travel up to R in that row and then crawl just above to S without visiting any other cell more than one time in that row.

So from B to R there are 8 cells.