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 \(a\).

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