SOLUTION: How many 3 digit numbers are there that have the sum of their digits equal to 5. For example, 122 is such a number because 1+2+2=5 Is there a way to do this problem without usin

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Question 1072383: How many 3 digit numbers are there that have the sum of their digits equal to 5. For example, 122 is such a number because 1+2+2=5
Is there a way to do this problem without using the brute force method and go
through all of the questions?
Thank you.

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
1.  113 and all its distinguishable permutations;


2.  122 and all its distinguishable permutations;


3.  320 and all allowable and distinguishable permutations;


4.  410 and all allowable and distinguishable permutations;


5.  500.

Not so many . . .

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