GAUSS8 1998 Problem 17

In a ring toss game at a carnival, three rings are tossed over any of three pegs. A ring over peg A is worth one point, over peg B\:three points and over peg C\:five points. If all three rings land on pegs, how many different point totals are possible? (It is possible to have more than one ring on a peg.)

Answer Choices
A. 12
B. 7
C. 10
D. 13
E. 6