Question 2: Pocket Politics (any resemblance to recent events ispurely coincidental) Long time ago, in a country far far away, aTotally Racist Unqualified Malicious President ruled the land withan iron fist. His rivals had to do everything in their power tofree the people from his terrible regime and make the country greatagain. Many people offered to take the TRUMP down, but six wise andbrave 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, thecandidates have to gather in the town hall for a night of swordfights and verbal altercations. You are in charge of organizing thegrand event.

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