Problem:
When three different numbers from the set are multiplied, the largest possible product is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
For the product of three numbers to be positive, either all three of the numbers must be positive or one must be positive and two must be negative. Since there are only two positive numbers, only the latter case is possible. Thus the largest such product is .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions