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