102 Suppose you wish to sample n = 2 elements from a total of N = 10 elements.

a. Count the number of different samples that can be drawn, first by listing them and then by using combinatorial mathematics.

b. If random sampling is to be employed, what is the probability that any particular sample will be selected?

c. Show how to use the random-number table, Table I in Appendix: Tables , to select a random sample of 2 elements from a population of 10 elements. Perform the sampling procedure 20 times. Do any two of the samples contain the same 2 elements? Given your answer to part b , did you expect repeated samples?