Problem:
Bag contains three chips labeled , and . Bag contains three chips labeled , and . If one chip is drawn from each bag, how many different values are possible for the sum of the two numbers on the chips?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Make a table of possibilities.
The possible sums are , and , for a total of possibilities.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions