Question

In how many different ways (counting the orders) can the San Diego Chargers score exactly 10 points in a football game? Points are scored as follows: A safety scores 2 points, a conversion scores 2 points, a field goal 3 points, a touch down 6 points, and a point after touch down (PAT) 1 point. However, a PAT or a 2-point conversion can only be scored after a touch down.)

Answer 1

6+2 + 2 (conversion+safety)
6+1 + 3
6+2+2 (two safeties)
3+3+2+2
2+2+2+2+2