To determine a. Find the pair of candidates must be examined to carry out the method of pairwise comparisons with four candidates. b. Find the pair of candidates must be examined to carry out the method of pairwise comparisons with five candidates. c. Find the pair of candidates must be examined to carry out the method of pairwise comparisons with six candidates. Explanation a. Consider the four candidates A, B, C and D. By the pair-wise comparisons, the contests are A versus B A versus C A versus D B versus C B versus D C versus D By the combinations total number of contests are: Choose any 2 out of 4 candidates C 2 4 = 4 ! 2 ! ( 4 − 2 ) ! = 6 ways Thus, there are 4 candidates, so the pair of candidates must be examined to carry out the method of pairwise comparisons is 6. b. Consider the five candidates A, B, C, D and E. By the combinations total number of contests are: Choose any 2 out of 5 candidates C 2 5 = 5 ! 2

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ISBN: 9780137721023

Author: Bennett

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Chapter 12.A, Problem 46E

To determine

a. Find the pair of candidates must be examined to carry out the method of pairwise comparisons with four candidates.

b. Find the pair of candidates must be examined to carry out the method of pairwise comparisons with five candidates.

c. Find the pair of candidates must be examined to carry out the method of pairwise comparisons with six candidates.

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Chapter 12.A, Problem 45E

Chapter 12.A, Problem 47E

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