Problem:
Al, Bill, and Cal will each randomly be assigned a whole number from to , inclusive, with no two of them getting the same number. What is the probability that Al's number will be a whole number multiple of Bill's and Bill's number will be a whole number multiple of Cal's?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
There are assignments satisfying the condition: , , and . There are possible assignments, so the probability is .
The problems on this page are the property of the MAA's American Mathematics Competitions