William will fill in the three blanks in the expression __ - ( __ - __ ) using each of the three numbers 2, 3 and 5 exactly once. How many distinct, simplified values are possible?
2006-11-14 11:20:37 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
There are 6 ways to order the numbers 2, 3 and 5:
2 - (3 - 5) = 4
2 - (5 - 3) = 0
3 - (2 - 5) = 6
3 - (5 - 2) = 0
5 - (2 - 3) = 6
5 - (3 - 2) = 4
This results in 3 duplicates, so there are only 3 distinct answers to the problem (0, 4, 6)
2006-11-14 11:23:00 · answer #1 · answered by Puzzling 7 · 1⤊ 0⤋
2 3 5
5 3 2
3 5 2
3 2 5
2 5 3
5 2 3
...therefore 6 possible values
2006-11-14 11:25:15 · answer #2 · answered by Anonymous · 0⤊ 0⤋
6
2006-11-14 11:24:15 · answer #3 · answered by Anonymous · 0⤊ 0⤋
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, there are 3 distinct simplified values (0, 4, and 6).
2006-11-14 11:26:14 · answer #4 · answered by Anonymous · 0⤊ 0⤋
1. 2-(3-5)
2. 2-(5-3)
3. 3-(2-5)
4. 3-(5-2)
5. 5-(3-2)
6. 5-(2-3)
2006-11-14 11:28:09 · answer #5 · answered by nana ♥ 2 · 0⤊ 0⤋
6 of them
2006-11-14 11:25:03 · answer #6 · answered by Anonymous · 0⤊ 0⤋
3 using combinations.
2006-11-14 11:24:52 · answer #7 · answered by Anonymous · 0⤊ 0⤋