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Question: 1. Find the probabilities pr that in a sample of r random digits no two are equal. Estimate the numerical value of P10, using Stirling's formula.

2. What is the probability that among k random digits

(a) 0 does not appear;

(b) 1 does not appear;

(c) neither 0 nor 1 appears;

(d) at least one of the two digits 0 and 1 does not appear? Let A and B represent the events in (a) and (b). Express the other events in terms of A and B.

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