math

posted by .

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?

  • math -

    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

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. physics

    A dart is thrown horizontally with an initial speed of 6 m/s toward point P, the bull's-eye 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?
  3. 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 …
  4. Physics

    A dart is thrown horizontally with an initial speed of 11 m/s toward point P, the bull's-eye 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?
  5. 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 …
  6. 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?
  7. 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. …
  8. 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 …
  9. 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 …
  10. Physics

    A dart is thrown horizontally with an initial speed of 14 m/s toward point P, the bull's-eye 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?

More Similar Questions