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In the spirit of Project Euler, I pose the following problem:

How many unique ways are there to select 10 different numbers from 1-100 so that the sum of the numbers is 667?

In other words:
  • Each number in a set of 10 must be distinct
  • Two sets that have the same 10 numbers but in a different order are not valid (not unique)
  • Some numbers in 2 different sets may repeat as long as all 10 do not repeat
A straight forward brute force implementation will require checking 17,310,309,456,440 different sets of numbers, so that is where the challenge comes in.

The only hints that I will give on how I solved the problem is that I used C and constructed my loops dynamically. I will also say that there are over a billion solutions. Unlike Project Euler, I ask that you also post your code so that everyone may learn from our collective ingenuity. I will post my code by this Friday.

Cheers - L~R

Clarified acceptable solution criteria

In reply to Challenge: Number of unique ways to reach target sum by Limbic~Region

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