On a famous episode of Star
Trek, Captain Kirk and the gang played a card game called Phisbin. This
problem is about another game, called Frisbin. The object of Frisbin
is to throw three Frisbees at three different-sized bins that are set up on the
ground about 20 feet away from the player.
If a Frisbee lands in the largest bin, the player scores 1 point. If a Frisbee lands in the medium-sized bin, the
player scores 5 points. If a Frisbee
lands in the smallest bin, the player scores 10 points. Kirk McCoy is playing the game. If all three of his Frisbees land in bins,
how many different total scores can he make?
(** This is a TWO-PART problem – List all possibilities for where the three Frisbees land, then find all the possible scores.