Problem:
What is the smallest sum of two -digit numbers that can be obtained by placing each of the six digits in one of the six boxes in this addition problem?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
In the smallest such sum, the two smallest digits are in the hundred's places, the next two digits in the ten's places and the two largest digits are in the one's places. One example is .
Query: In how many ways can this sum of be achieved?
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions