A: The scores 1, 2, 4, 5, 8, 9, 11, 12, 14, 15, 17, 18, 20, 21, 23, and 25 are impossible for a team to score.
B: Possible ways for a team to score 40 points include:
- 6 touchdowns with extra points and 2 field goals
- 5 touchdowns with extra points and 3 field goals
- 4 touchdowns with extra points and 4 field goals
- 3 touchdowns with extra points and 5 field goals
- 2 touchdowns with extra points and 6 field goals
- 1 touchdown with extra point and 7 field goals
In a football game, a touchdown with an extra point is worth 7 points and a field goal is worth 3 points. Suppose that in a game the only scoring done by teams are touchdowns with extra points and field goals.
A: Which of the scores 1 to 25 are impossible for a team to score?
B: List all possible ways for a team to score 40 points.
1 answer