Continued from Problem 10: ) Which dog won the most head-to-head comparisons? How many wins did this dog have? d) Isthere a Condorcet Winner? If so, who is it? If not, why not? e) Did any method(s) used in this contest scenario exhibit a violation of the Condorcet Criterion? Explain, 255 341 86 284 397 140 1 st Woofer Boba Fetch Hobie Furcules Pixie Furcules Figure 1 2nd Reproduced here Kramer Hobie Boba Fetch Boba Fetch Kramer Kramer for convenience 3rd Pixie Woofer Woofer Kramer Hobie Boba Fetch 4th Furcules Pixie Furcules Woofer Furcules Woofer 5th Hobie Kramer Pixie Hobie Boba Fetch Hobie 6th Boba Fetch Furcules Kramer Pixie Woofer Pixie We revisit our original Preference Schedule (Figure 1) one final time applying the Pairwise Comparison Method. For this method, we examine head-to-head comparisons between all pairs of choices. The choice with the most head-to-head wins is declared the winner with this method. Remember, a majority of the 1503 votes would be 752 or more. (7 pts)a) We have 6 candidates and will be choosing 2 at a time to compare. Thinking back to our counting techniques from Chapter 5, in how many different ways can we choose 2 dogs from our pool of 67 (i.e.: how many different pairwise comparisons will we need to evaluate?) b) Determine the winner of each of the head-to-head comparisons. You must show your work (include a list or table of your comparisons). You may continue your comparisons on the next page if you run out of space on this page