AMC 10B 2015 Problem 16

Al, Bill, and Cal will each randomly be assigned a whole number from 1 to 10 , 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. \dfrac{9}{1000}
B. \dfrac{1}{90}
C. \dfrac{1}{80}
D. \dfrac{1}{72}
E. \dfrac{2}{121}