2-43. In the laboratory analysis of samples from a chemical process, five sample

Question

2-43. In the laboratory analysis of samples from a chemical process, five samples from the process are analyzed daily. In addition, a control sample is analyzed twice each day to check the calibration of the laboratory instruments. (a) How many different sequences of process and control sam- ples are possible each day? Assume that the five process samples are considered identical and that the two control samples are considered identical. (b) How many different sequences of process and control sam- ples are possible if we consider the five process samples to be different and the two control samples to be identical?

Explanation / Answer

a) for 5 process and 2control samples are identical ; number of ways to arrange them =7!/(5!*2!) =21

b)total number of ways 5 process can be arrange =5! =120

hence total number of ways =120*21 =2520

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