contestada

In gym class, the yellow team and the blue team played soccer. Ali doesn't remember the final score of the game, but she does remember the following.

*There were six goals scored in total
*Neither team scored more than two goals in a row at any point in the game
*The blue team won the game

Determine all the possible final scores and the different ways each score could have been obtained.

Respuesta :

The final score is of:

4-2 for the Blue team.

The number of ways that each score could have been obtained is of:

8.

How to obtain the score?

These three bullet points are given:

  • There were six goals scored in total.
  • Neither team scored more than two goals in a row at any point in the game.
  • The blue team won the game.

The possible scores with six goals and the blue team winning are of:

  • 6 - 0.
  • 5 - 1.
  • 4 - 2.

If the team didn't score more than two goals in a row at any point of the game, the difference is of two, hence the score was 4 - 2.

The goals can be arranged as follows:

  • Blue - Blue - Yellow - 3!. (for the last 3 goals there are no restrictions).
  • Blue - Yellow - Blue - Yellow - Blue - Blue.
  • Yellow - Blue - Blue - Yellow - Blue - Blue.

Then the total number is of ways that the goals could be obtained is of:

3! + 1 + 1 = 8.

More can be learned about patterns involving variables at https://brainly.com/question/24342899

#SPJ1

Otras preguntas