william will fill in the 3 blanks in the expression __- (___-___) using each of the 3 #s 2,3,and 5 exactly onc

Question

william will fill in the 3 blanks in the expression __- (___-___) using each of the 3 #s 2,3,and 5 exactly once. how many distinct, simplified values r possible?

Answer 1

2-(3-5) = 4
2-(5-3) = 0
3-(2-5) = 6
3-(5-2) = 0
5-(3-2) = 4
5-(2-3) = 6
There are three unique answers 0,4,6

Answer 2

There are 6 possible arrrangements:

2 - (3 - 5) = 4
2 - (5 - 3) = 0
3 - (2 - 5) = 6
3 - (5 - 2) = 0
5 - (2 - 3) = 6
5 - (3 - 2) = 4

So the only possible distinct solutions are 0, 4, and 6, which total three.

Answer 3

3 different simplified values.
x - (y - z) = x - y + z = x + z - y
2 + 3 - 5 = 0
2 + 5 - 3 = 4
3 + 5 - 2 = 6

Answer 4

William has a lot of time on his hands.