Since no specific method was stipulated the combinations of three different regions from the 10 possible regions that would result inexactly 50 points is Zero.
Possible Scores
The possible scores are given below:
10 10 10, 10 10 5, 10 5 5, 5 5 5, 10 10 1, 10 1 1, 10 5 1, 5 5 1, 5 1 1 and 1 1 1.
The sum of each group of possible scores are:
3, 7, 11, 16, 12, 21, 15, 20, 25, 30
Examples of rudimentary addition:
1. 3+7+30 =40
2. 7+11+30=48
3. 11 + 16 + 30= 57
4. 16+12+30 =58
5. 12+21+30=63 etc
Again, using a rudimentary count, we can prove that no three categories all summed up, will add up to exactly 50 points.
Lean more about Combinations below:
https://brainly.com/question/1757772
