Using all the pool ball numbers 1-15:
The standard triangle is setup like this:
[] [] [] [] []
[] [] [] []
[] [] []
[] []
[]
How would all the numbers 1-15 fit in this triangle if every ball on the right is subtracted from the left to equal the ball below it?
EXAMPLE:
[15] [11] [X] [X] [X]
[4] [X] [X] [X]
[X] [X] [X]
[X] [X]
[X]
2007-04-04 16:01:47 · 3 answers · asked by Lottare 2 in Science & Mathematics ➔ Mathematics
All numbers must be positive!
2007-04-04 16:02:33 · update #1
The theoretical part of this is... -1 = 1
All negative numbers = a positive..that is why all numbers are positive.
2007-04-04 16:36:39 · update #2
Do you have a guarantee that this is possible? Maybe I'm missing something, but it doesn't seem to me to be.
Every number must be greater than the number to its right, and also greater than the number below it. That means that the number 14 must be right next to the 15, either on its right or directly below it. Hopefully you agree, because I'm not sure how to explain exactly why if you don't.
But that means that the 1 must also be next to the 15, either to make the 14 or made by it. But that means that all of the numbers below one and to its right must be positive numbers less than one, and you don't see a lot of those on pool balls.
2007-04-04 16:13:38 · answer #1 · answered by Mehoo 3 · 1⤊ 0⤋
[13] [ 3] [15] [14] [6]
[10] [12] [ 1][ 8]
[ 2] [11] [ 7]
[ 9] [ 4]
[ 5]
is one solution
2007-04-06 09:15:33 · answer #2 · answered by molawby 3 · 1⤊ 0⤋
Can't be done
2007-04-04 16:21:15 · answer #3 · answered by Helmut 7 · 0⤊ 0⤋