# AMC problem-1

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?

If the probability can be expressed as $$\frac{1}{a}$$ for some natural number $$a$$, then find $$a$$.

×