math
posted by Sherry .
My sister is playing a dart game at an arcade. She can earn 2, 3, or 6 points with each dart. She scored 24 points. How many ways could she score 24 points given that each dart thrown landed on the dart board?

2 & 3 are both factors of 6.
Meaning whenever 6 goes in a set, it can be replaced by two 3's or three 2's.
6 * 4
6 * 3; 3 * 2
6 * 3; 2 * 3
6 * 2; 3 * 4
6 * 2; 2 * 6
6 * 2; 3 * 2; 2 * 3
6 * 1; 3 * 6
6 * 1; 2 * 9
6 * 1; 3 * 4; 2 * 3
6 * 1; 3 * 2; 2 * 6
6 * 0; 3 * 8
6 * 0; 2 * 12
6 * 0; 3 * 6; 2 * 3
6 * 0; 3 * 4; 2 * 6
6 * 0; 3 * 2; 2 * 9
1 + 2 + 3 + 4 + 5 = 15 ways.
Respond to this Question
Similar Questions

8th grade
Jamie was throwing darts at targets. When his dart landed in the center of the target(the bull eye)and he earned 7 points. However, when his dart landed on the outside ring he earned 2 points. After 50 throws his friend reported his … 
physics
A dart is thrown horizontally with an initial speed of 6 m/s toward point P, the bull'seye on a dart board. It hits at point Q on the rim, vertically below P, 0.29 s later. Neglect air resistance. (a) What is the distance PQ? 
physics
A game of darts involves throwing two darts at the board. Hitting a blue region with a dart scores 1 point; a red region, 2 points, a green region, 3 points, and the orange region, 5 points. Assume that no skill is involved. What is … 
Physics
A dart is thrown horizontally with an initial speed of 11 m/s toward point P, the bull'seye on a dart board. It hits at point Q on the rim, vertically below P, 0.19 s later. (a) What is the distance PQ? 
math
Max,Owen,Elise, and Cara went to a school carnival. They each played the dart throw,ring toss,water shoot,and basketball throw. Each student won a different game. CLUES:*Max didn't score any points at the dart throw. * Elise correctly … 
math
jimmy is playing a dart game at an arcade. he can earn 2,3,or 6 points with each dart. she scored 24 points. how many ways could he score 24 points given that each dart thrown landed on the dart board? 
physics
A 15.0 kg dart is thrown horizontally into a dartboard. The thrower applies a 80.0 N force over a distance of 88.2 cm in order to propel the dart. a) Calculate the work done by the dart thrower. b) Determine the velocity of the dart. … 
Math
Garrett throws a dart at a circular dart board. The dart board has a radius, and the bull's eye in the center of the dart board has a radius of 6 inches. What is the probability that a dart thrown at random within the dartboard will … 
Algebra 2
Garrett thros a dart at a circular dart board. the dart board has a radius of 16 inches, and the bull's eye in the center of the dart board has a radius of 6 inches. What is the probability that a dart thrown at random within the dartboard … 
Physics
A dart is thrown horizontally with an initial speed of 14 m/s toward point P, the bull'seye on a dart board. It hits at point Q on the rim, vertically below P, 0.19 s later. (a) What is the distance PQ?