Answer:
To find the position of the word 'BOARD' when all its letters are rearranged alphabetically, you need to consider all the possible permutations of the letters in 'BOARD' and arrange them alphabetically. Then, you can find where 'BOARD' fits in that list. Let's do the calculations.
First, let's list all the permutations of the letters in 'BOARD' alphabetically:
1. ABDOR
2. ABODR
3. ABRDO
4. ABROD
5. ABODR
6. ABORD
7. ADBOR
8. ADBRO
9. ADORB
10. ADOBR
11. ADRBO
12. ADROB
13. ARBDO
14. ARBOD
15. ARDBO
16. ARDOB
17. AROBD
18. ARODB
19. AOBDR
20. AOBRD
21. AODBR
22. AODRB
23. AORDB
24. AORBD
25. ABDR0
26. ABDRO
27. ABODR
28. ABORD
29. ABRDO
30. ABROD
31. ADBOR
32. ADBRO
33. ADORB
34. ADOBR
35. ADRBO
36. ADROB
37. ARBDO
38. ARBOD
39. ARDBO
40. ARDOB
41. AROBD
42. ARODB
43. AOBDR
44. AOBRD
45. AODBR
46. AODRB
47. AORDB
48. AORBD
49. BADOR
50. BADRO
51. BAODR
52. BAORD
53. BARD0
54. BARDO
55. BDAOR
56. BDARO
57. BDOAR
58. BDORA
59. BDRAO
60. BDROA
61. BOADR
62. BOARD
63. BODAR
64. BODRA
65. BORDA
66. BRADO
67. BRAOD
68. BRDAO
69. BRDOA
70. BROAD
71. BRODA
72. DABOR
73. DABRO
74. DAORB
75. DAOBR
76. DARBO
77. DAROB
78. DBAOR
79. DBARO
80. DBOAR
81. DBORA
82. DBRAO
83. DBROA
84. DOABR
85. DOARB
86. DOBAR
87. DOBRA
88. DORAB
89. DORBA
90. DRABO
91. DRAOB
92. DRBAO
93. DRBOA
94. DROAB
95. DROBA
96. RABDO
97. RABOD
98. RADBO
99. RADOB
100. RAOBD
101. RAODB
102. RBADO
103. RBAOD
104. RBDAO
105. RBDOA
106. RBOAD
107. RBODA
108. RDABO
109. RDAOB
110. RDBAO
111. RDBOA
112. RDOAB
113. RDOBA
114. ROADB
115. ROABD
116. ROBDA
117. ROBAD
118. RODAB
119. RODBA
Now, let's find the position of 'BOARD' in this list. It's at position 62.
