Problem:
For the nonzero numbers a,b, and c, define
(a,b,c)=a+b+cabcβ.
Find (2,4,6).
Answer Choices:
A. 1 
B. 2 
C. 4 
D. 6 
E. 24 
Solution:
We have
(2,4,6)=2+4+62β
4β
6β=1248β=4.
Answer: Cβ.
The problems on this page are the property of the MAA's American Mathematics Competitions