in a basketball game . Tina made 9 baskets . each dasket was worth either 2 or 3 points how many different numbers could represent the total points that Tina could have made?? answer me

Tina could make are 10 Possible total points.

They number of possible total points are; 18, 19, 20, 21, 22, 23, 24, 25, 26 and 27.

Step-by-step explanation:

This is a zero-sum sort of deal. If tina makes 9 baskets, they can be all 2 points or all 3 points.

Let's make some number of 2 points "n". Then, the number of 3 points has to be 9 - n. The logic is exactly the same if we considered the number of 3 points made to be "n".

Thus, the maximum of this relationship is when n = 0.

Hence, 9 baskets gives the following possible permutations:

1) 0 number of 2 points and 9 number of 3 points = 27 points

2) 1 number of 2 points and 8 number of 3 points = 26 points

3) 2 number of 2 points and 7 number of 3 points = 25 points

4) 3 number of 2 points and 6 number of 3 points = 24 points

5) 4 number of 2 points and 5 number of 3 points = 23 points

6) 5 number of 2 points and 4 number of 3 points = 22 points

7) 6 number of 2 points and 3 number of 3 points = 21 points

8) 7 number of 2 points and 2 number of 3 points = 20 points

9) 8 number of 2 points and 1 number of 3 points = 19 points

10) 9 number of 2 points and 0 number of 3 points = 18 points

So the number of possible points Tina could make are; 18, 19, 20, 21, 22, 23, 24, 25, 26 and 27.