Problem:
What is the minimum possible product of three different numbers of the set
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The only way to get a negative product using three numbers is to multiply one negative number and two positives or three negatives. Only two reasonable choices exist: and . The latter is smaller.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions