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Choose the most restrictive digits first.
The first digit is most restrictive because it can only be 6.
The next most restrictive digit is the 4th one because an integer
must end with 0 or 5 to be divisible by 5. The 2nd and 3rd digits
are the least restrictive, so choose them last.
Choose the 1st digit 1 way, as "6"
Choose the 4th digit 2 ways, as 0 or 5
That leaves 8 ways to choose the 2nd digit.
That leaves 7 ways to choose the 3rd digit.
Answer 1·2·8·7 = 112
Here they all are, printed by my computer:
1. 6015 2. 6025 3. 6035 4. 6045 5. 6075 6. 6085 7. 6095 8. 6105 9. 6120 10. 6125
11. 6130 12. 6135 13. 6140 14. 6145 15. 6150 16. 6170 17. 6175 18. 6180 19. 6185 20. 6190
21. 6195 22. 6205 23. 6210 24. 6215 25. 6230 26. 6235 27. 6240 28. 6245 29. 6250 30. 6270
31. 6275 32. 6280 33. 6285 34. 6290 35. 6295 36. 6305 37. 6310 38. 6315 39. 6320 40. 6325
41. 6340 42. 6345 43. 6350 44. 6370 45. 6375 46. 6380 47. 6385 48. 6390 49. 6395 50. 6405
51. 6410 52. 6415 53. 6420 54. 6425 55. 6430 56. 6435 57. 6450 58. 6470 59. 6475 60. 6480
61. 6485 62. 6490 63. 6495 64. 6510 65. 6520 66. 6530 67. 6540 68. 6570 69. 6580 70. 6590
71. 6705 72. 6710 73. 6715 74. 6720 75. 6725 76. 6730 77. 6735 78. 6740 79. 6745 80. 6750
81. 6780 82. 6785 83. 6790 84. 6795 85. 6805 86. 6810 87. 6815 88. 6820 89. 6825 90. 6830
91. 6835 92. 6840 93. 6845 94. 6850 95. 6870 96. 6875 97. 6890 98. 6895 99. 6905 100. 6910
101. 6915 102. 6920 103. 6925 104. 6930 105. 6935 106. 6940 107. 6945 108. 6950 109. 6970 110. 6975
111. 6980 112. 6985
Edwin
