From a population of n elements a sample of size r is taken. Find the probability that

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From a population of n elements a sample of size r is taken. Find the probability that none of N prescribed elements will be included in the sample, assuming the sampling to be

(a) without,

(b) with replacement. Compare the numerical values for the two methods when (i) n = 100, r = N = 3, and (ii) n=100, r = N = 10.

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