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Oct 10th, 2019
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  1. 1- 49 50 = 100(X)
  2. 2- 49 50 > 100(O) => C(2,2) = 1x2 / 1x2
  3. 3- 48 49 50 => C(3,2) = 2x3 / 1x2
  4. 4- 47 48 49 50 => C(4,2) = 3x4 / 1x2
  5. 5- 46 47 48 49 50 => C(5,2) = 4x5 / 1x2
  6. ....
  7. 24- 27 28 ... 50 => C(24,2) = 23x24 / 1x2
  8. ------------------------------
  9. 25 26 27 ... 50 => C(26,3) = 24x25x26 / 1x2x3 = 2600
  10. -------------------------------
  11. 全加起來
  12. => 1x2 + 2x3 + 3x4 + 4x5 + ... + 23x24 / 1x2 + 2600
  13. -------------------------------------------------------------------
  14. 套公式 [ 1x2 + 2x3 + ... + nx(n+1)= n(n+1)(n+2)/3 ]
  15. n=23
  16. => 23x24x25 / 3 = 4600
  17. --------------------------------------------------------------------
  18. => 4600 / 1x2 +2600 = 4900
  19. => 分子 =4900
  20. 分母=C(50,3)=19600
  21. = 1/4
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