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Jan 19th, 2020
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  1. How many ways are there to layout 2 out 3 desirable perks over 3 perk spots?
  2.  
  3. 1 2 ?
  4. 1 ? 2
  5. ? 1 2
  6. 1 3 ?
  7. 1 ? 3
  8. ? 1 3
  9.  
  10. 2 1 ?
  11. 2 ? 1
  12. ? 2 1
  13. 2 3 ?
  14. 2 ? 3
  15. ? 2 3
  16.  
  17. 3 1 ?
  18. 3 ? 1
  19. ? 3 1
  20. 3 2 ?
  21. 3 ? 2
  22. ? 3 2
  23.  
  24. 18 ways
  25.  
  26. for each row there's 28 perks left to fill the question mark
  27.  
  28. between rows with question marks there will be duplicates,
  29. 1 2 3 is matched by 1 2 ? and 1 ? 3 and ? 2 3
  30. but 1 2 4 is only matched by 1 2 ?
  31. 1 4 3 is only matched by 1 ? 3
  32. 4 2 3 is only matched by ? 2 3
  33. so duplicates only happen when the question mark is filled by one of the accounted for perks
  34.  
  35. there won't be so many duplicates so let's say there's 18 * 28 ways to lay out (2 out of 3) desirable perks
  36.  
  37. there's 30*29*28 possible ways to fill 3 spots using 30 perks
  38. chance to roll 2 out 3 desirable perks in a single roll = 18*28 / 30*29*28 = 0,0207
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