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Question 2: Pocket Politics (any resemblance to recent events is purely coincidental) Long time ago, in...

Question 2: Pocket Politics (any resemblance to recent events is purely coincidental) Long time ago, in a country far far away, a Totally Racist Unqualified Malicious President ruled the land with an iron fist. His rivals had to do everything in their power to free the people from his terrible regime and make the country great again. Many people offered to take the TRUMP down, but six wise and brave men and women stood out from the rest:
1. Joe “Busy Hands” Bye-then (J) 2. Bernie “Crazy Eyes” Slanders (B) 3. Elizabeth “Pocahontas” Warden (E) 4. Tulsi “Go Land Crabs!” Globbard (T) 5. Mike “Mini Me” Broomfield (M) 6. Pete “Father-of-Chickens” Boot-a-Judge (P)
In order for the good people to make the right choice, the candidates have to gather in the town hall for a night of sword fights and verbal altercations. You are in charge of organizing the grand event.

Q1. Since no clear ranking could be established at the previous fights, the candidates are now paired up tournament style and each pair fights it out until someone gives up. How many ways do you have to divide the six candidates into three pairs? (Hint: How many ways can you select one pair? How many ways does it leave you to select the second pair? Then the third? Don’t forget to eliminate redundancy due to order).

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