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• Oct 29th 2010, 06:11 AM
Tzar
I cant remember how to do it but i know its possible.
using only the numbers 6, 7, 8, 9, 10.
using only the operations +, -, /, *
you have to make 12
in addition you are only alowed to use them once and you have to use all of them
parentheses are alowed, but powers are not.
• Oct 29th 2010, 06:18 AM
Ackbeet
Spoiler:
How about 9 * 8 / 6?
• Oct 29th 2010, 06:38 AM
Also sprach Zarathustra
Quote:

Originally Posted by Ackbeet
Spoiler:
How about 9 * 8 / 6?

Where are 10 and {+,-}? :)
• Oct 29th 2010, 06:41 AM
Ackbeet
Hmm. Is the problem statement this:

1. "Using all of the following symbols exactly once, 6, 7, 8, ,9, 10 and +, -, *, /, try and make the number 12." or is it

2. "Using any of the following symbols at most once, 6, 7, 8, ,9, 10 and +, -, *, /, try and make the number 12."?

The OP wasn't worded clearly there, in my opinion.
• Oct 29th 2010, 06:44 AM
Also sprach Zarathustra
Yes...
• Oct 29th 2010, 06:45 AM
Tzar
sorry let me reword it.
using only the numbers 6, 7, 8, 9, 10.
using only the operations +, -, /, *
you have to make 12
in addition you are only alowed to use them once and you have to use all of them
• Oct 29th 2010, 06:51 AM
Ackbeet
Are parentheses allowed, or do you have to rely on the natural order of operations?
• Oct 29th 2010, 06:53 AM
Tzar
parentheses are alowed, but powers are not.
• Oct 29th 2010, 07:16 AM
Wilmer
Quote:

Originally Posted by Tzar
using only the numbers 6, 7, 8, 9, 10.
using only the operations +, -, /, *
in addition you are only alowed to use them once and you have to use all of them

Does "them" include the "+, -, /, *" ? Or do you mean just the numbers?

Like, is 6 * (8 - 7 + 10 - 9) = 12 ok? Or must the / sign be used ?
• Oct 29th 2010, 07:18 AM
Tzar
nope sorry it applies to both the numbers and th operations
• Oct 29th 2010, 07:40 AM
Ackbeet
Can '/' be interpreted as integer division (where you don't worry about the remainder), or is it real division? Or could it be either?
• Oct 29th 2010, 07:44 AM
Tzar
it has to be real division
• Oct 29th 2010, 08:20 AM
Ackbeet
Here's one solution. There may be many others.

Spoiler:
((10+8)*7)/6-9.
• Oct 29th 2010, 08:26 AM
Ackbeet
There are no solutions that can get away without using parentheses.
• Oct 29th 2010, 08:35 AM
Tzar
excellent, thank you, I have been working on it for two weeks
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