SOLUTION: how many three-digit positive integers are there in which each digit is a non-negative square number?
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Question 479806: how many three-digit positive integers are there in which each digit is a non-negative square number?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
There are 3 choices for the first digit 1,4,and 9
There are 4 choices for the second digit 0,1,4,and 9
There are 4 choices for the third digit 0,1,4, and 9
That's 3 = 48. Here they all are:
1. 100
2. 101
3. 104
4. 109
5. 110
6. 111
7. 114
8. 119
9. 140
10. 141
11. 144
12. 149
13. 190
14. 191
15. 194
16. 199
17. 400
18. 401
19. 404
20. 409
21. 410
22. 411
23. 414
24. 419
25. 440
26. 441
27. 444
28. 449
29. 490
30. 491
31. 494
32. 499
33. 900
34. 901
35. 904
36. 909
37. 910
38. 911
39. 914
40. 919
41. 940
42. 941
43. 944
44. 949
45. 990
46. 991
47. 994
48. 999
Edwin
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