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Participants in a darts tournament get 5 points if they hit the red circle, 1 point if they hit the blue circle, and no points if they miss both circles. Each participant has 4 darts. How many different scores are possible if everyone gets at least one point?

Respuesta :

francocanacari

There are 14 different possible scores.

Calculus

Given that participants in a darts tournament get 5 points if they hit the red circle, 1 point if they hit the blue circle, and no points if they miss both circles, and each participant has 4 darts, to determine how many different scores are possible if everyone gets at least one point, the following calculation must be performed:

  • 4x5 + 0x1 + 0x0 = 20
  • 3x5 + 1x1 + 0x0 = 16
  • 3x5 + 0x1 + 1x0 = 15
  • 2x5 + 2x1 + 0x0 = 12
  • 2x5 + 1x1 + 1x0 = 11
  • 2x5 + 0x1 + 2x0 = 10
  • 1x5 + 3x1 + 0x0 = 8
  • 1x5 + 2x1 + 1x0 = 7
  • 1x5 + 1x1 + 2x0 = 6
  • 1x5 + 0x1 + 3x0 = 5
  • 0x5 + 4x1 + 0x0 = 4
  • 0x5 + 3x1 + 1x0 = 3
  • 0x5 + 2x1 + 2x0 = 2
  • 0x5 + 1x1 + 3x0 = 1

So, as you can see, there are 14 different possible scores.

Learn more about calculus in https://brainly.com/question/9384208

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