Problem:
How many -digit numbers greater than are there that use the four digits of
Answer Choices:
A.
B.
C.
D.
E.
Solution:
To form a number greater than , the first digit must be or . If the first digit is a , the remaining numbers could be , or . If the first digit is a , the remaining numbers could be , or . So there are ways to form a number greater than .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions