My Math Forum Unique Sums

 December 5th, 2015, 02:56 PM #1 Newbie   Joined: Dec 2015 From: France Posts: 1 Thanks: 0 Unique Sums (I've studied maths in French so forgive me if my language is off sometimes) I'm trying to find a formula that gives all unique numbers you can get out of imputed numbers. For example if I imput 6,7 and 8 I will get: 6 - 7 - 8 - 6+7 - 6+8 - 7+8 - 6+7+8 - 6+7k - 7+6k - 8+6k - 6+8k - 7+8k - 8+7k - 6+7+8k - 6+8+7k - 7+8+6k Basically I'm trying to solve this kind of problem, let's suppose I go to a shop with x amount of money and I want to go from x amount to 0 using all unique combinations of item prices (knowing the item prices of course), there is still a possibility you can't get to 0 but I need to try every unique combination to know. (if anyone can help/guide me in any way would be greatly appreciated)
 December 5th, 2015, 05:54 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,600 Thanks: 2588 Math Focus: Mainly analysis and algebra Its basically a Diophantine equation. You could read about those.

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