Problem:
What is the value of
Answer Choices:
A.
B.
C.
D.
E.
Solution:
We can see that , , and each appear in the ones, tens, hundreds, and thousands digit exactly one. Since , we find the sum is equal to
Note that it is equally valid to manually add all four numbers together to get the answer.
The problems on this page are the property of the MAA's American Mathematics Competitions