SOLUTION: how many three digit numbers have the sum of their digits equal to 22?

Question 438433: how many three digit numbers have the sum of their digits equal to 22?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
None of the digits can be , , or , since
the sum of any arrangement of is too small
What is left is all possible arrangements of:
994
985
976
886
877
----
The arrangements are:
994
949
499 - 3 possible
---
985
958
895
859
598
589 - 6 possible
---
976 - 6 possible
886 - 3 possible
877 - 3 possible
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There are 21 3-digit numbers whose digits add up to 22

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