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Apr 25th, 2017
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  1. E = Empty Set
  2.  
  3. E = {(a,b), (b,c), (c,d), (d,e), (a,h), (b,h), (c,i), (d,f), (c,j), ........ }
  4.  
  5.  
  6. w(E) = | W | e |
  7. | 1 |(h,g)|
  8. | 2 |(c,i)|
  9. | 2 |(g,f)|
  10. | 4 |(a,b)|
  11. | 4 |(c,f)|
  12. | 6 |(i,g)|
  13. | 7 |(c,d)|
  14. | 7 |(h,i)|
  15. | 8 |(a,h)|
  16. | 8 |(b,c)|
  17. | 9 |(d,e)|
  18. | 10 |(e,f)|
  19. | 11 |(b,h)|
  20. | 14 |(d,f)|
  21.  
  22.  
  23. A | Sets | W
  24. ---------------------------------------------------------------------------------
  25. E | {a}, {b}, {c}, {d}, {e}, {f}, [ {g} ], [ {h} ], {i} (a)
  26. ---------------------------------------------------------------------------------
  27. {(h,g)} | {a}, {b}, [ {c} ], {d}, {e}, {f}, {g,h}, [ {i} ] (b)
  28. ---------------------------------------------------------------------------------
  29. {(h,g), | {a}, {b}, {c,i}, {d}, {e}, [ {f} ], {g,h} (c)
  30. (c,i)} |
  31. ---------------------------------------------------------------------------------
  32. {(h,g), | [ {a} ], [ {b} ], {c,i}, {d}, {e}, {g,h,f} (d)
  33. (c,i), |
  34. (g,f)} |
  35. ---------------------------------------------------------------------------------
  36. {(g,h,f),| {a,b}, [ {c,i} ], {d}, {e}, [ {g,h,f} ] (e)
  37. (c,i)} |
  38. ---------------------------------------------------------------------------------
  39. {(a,b), | {a,b}, {d}, {e}, [ {g,h,f,c,i} ] (f)
  40. (g,h,f),|
  41. (c,i)} |
  42. ---------------------------------------------------------------------------------
  43. {(a,b), | {a,b}, [ {d} ], {e}, [ {g,h,f,c,i} ] (g)
  44. (g,h,f, |
  45. c,i)} |
  46. ---------------------------------------------------------------------------------
  47. {(a,b), | {a,b}, {e}, [ {g,h,f,c,i,d} ] (h)
  48. (g,h,f, |
  49. c,i,d |
  50. )} |
  51. ---------------------------------------------------------------------------------
  52. {(a,b), | [ {a,b} ], {e}, [ {g,h,f,c,i,d} ] (i)
  53. (g,h,f, |
  54. c,i,d |
  55. )} |
  56. ---------------------------------------------------------------------------------
  57. {(g,h,f, | [ {g,h,f,c,i,d,a,b} ], {e} (j)
  58. c,i,d, |
  59. a,b)} |
  60. ---------------------------------------------------------------------------------
  61. {(g,h,f, | [ {g,h,f,c,i,d,a,b} ], [ {e} ] (k)
  62. c,i,d, |
  63. a,b)} |
  64. ---------------------------------------------------------------------------------
  65. {(g,h,f, | [ {g,h,f,c,i,d,a,b,e} ] (l)
  66. c,i,d, |
  67. a,b,e) |
  68. } |
  69. ---------------------------------------------------------------------------------
  70. {(g,h,f, | [ {g,h,f,c,i,d,a,b,e} ] (m)
  71. c,i,d, |
  72. a,b,e) |
  73. } |
  74. ---------------------------------------------------------------------------------
  75. {(g,h,f, | [ {g,h,f,c,i,d,a,b,e} ] (n)
  76. c,i,d, |
  77. a,b,e) |
  78. } |
  79. ---------------------------------------------------------------------------------
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