Answer:
10
Step-by-step explanation:
To determine the number of different total scores possible when throwing 3 darts at a board, where each dart scores either 1, 3, or 9, we can list the possible score combinations without considering the order, and then add them up.
For example, to achieve a total score of 13, we need to throw a 1, 3, and 9, but the order in which the darts are thrown makes no difference to the total score.
Possible score combinations:
- 1 + 1 + 1 = 3
- 1 + 1 + 3 = 5
- 1 + 1 + 9 = 11
- 1 + 3 + 3 = 7
- 1 + 3 + 9 = 13
- 1 + 9 + 9 = 19
- 3 + 3 + 3 = 9
- 3 + 3 + 9 = 15
- 3 + 9 + 9 = 21
- 9 + 9 + 9 = 27
Therefore, there are 10 different total scores that can be made.
