Problem:
The digits and are each used once to form the smallest possible even five-digit number. The digit in the tens place is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
To make the number as small as possible, the smaller digits are placed in the higher-value positions. To make the number even, the larger even digit must be the units digit. The smallest possible even number is and is in the tens place.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions