The bee
There is a bee in the upper hole to the left of a beehive as shown in the picture. The bee can go in the up or down corner to the right or go straight to the right. The bee wants to go on the rightmost hole of the beehive. So if there are holes as shown in the picture, in how many ways it can get there?
The answer is 55.
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1 solution
the ways to go in each hole is the sum of the ways of the holes that the bee can come from.
by calculating the ways to the each hole we can find there are 5 5 ways to go the last hole.