Dartboard Scores

In the traditional games of darts, three
darts are thrown at the board. Each dart can score from 1 to 20
inclusive, or double that, or even treble that, or the bullseyes (25,
50). Therefore, assuming no darts fall out or miss the scoring part of
the board, the possible scores range up to 180 (3 x 60). |

ost of the possible scores can be made in several different ways. Which score can be made in the maximum number of' different ways? How many ways? |

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Last Updated: January 14th, 2010.