## Finishing On 150

#### Problem

In order to win a game of darts, a player must finish on exactly zero and their last dart must land in a double or hit the bull's eye.

For example, if a player hit treble twenty (60 points), double twenty (40 points) and the bull's eye (50 points) they would score 150 points and could use this combination to finish.

How many ways can a player finish from 150 points with three darts?

Problem ID: 39 (Mar 2001) Difficulty: 2 Star