there are 4 possible scoring plays in an NFL football game
(T) touch down -6 points
(A) point after touchdown can only be earn with a touch down) - 1 point
(F) field goal - 3 points
(S) safety - 2 points
1. how many different ways could the team score 11 points?
I think it is 4? not sure..
TASS, TFS, FFFS, SSSSF,
2. what final scores between 0 and 30 are NOT possible for a team to make?
1 (i think this is the only one is impossible, but no clue..
Agree with your answers.
I believe you are correct for #1.
The answer for question #2. You wouldn't be able to have a final score of 1 because the only way you can get 1 point is if you already have 6 points from a touch down.
To answer your questions, let's break them down step by step:
1. To calculate the number of different ways a team can score 11 points, we need to consider the possible combinations of scoring plays. Here's how you can approach it:
- Touchdown (T): 6 points
- Point after touchdown (A) only after a touchdown: 1 point
- Field goal (F): 3 points
- Safety (S): 2 points
We can use this information to create different combinations of plays that sum up to 11 points. Let's go through each play:
- T + A + F + S
- T + A + F + F
- T + A + S + S + S
- T + F + F + F + S
- T + F + S + S
- F + F + F + F + S + S
In this case, there are a total of 6 different ways for a team to score 11 points.
2. To determine which final scores between 0 and 30 are not possible for a team to make, we can think about the highest and lowest possible scores for each play:
- Touchdown (T): The highest possible score is 6 points.
- Point after touchdown (A): The highest possible score is 1 point.
- Field goal (F): The highest possible score is 3 points.
- Safety (S): The highest possible score is 2 points.
Now that we know the highest possible scores, we can reason that any combination of these plays cannot exceed a score of 12 (T + A + F). Therefore, scores between 13 and 30 are also possible.
Based on this, the final scores in the range of 0 to 30 that are not possible for a team to make are:
- 1 (because a team cannot score less than 2 points)
- 2 (because a team cannot score less than 2 points)
- 3
- 4
- 5
- 7
- 8
- 9
- 11
- 13
- 14
- 17
- 19
- 23
- 26
- 29
These scores cannot be obtained by the specific scoring combinations mentioned earlier.