he superintendent of a school system is trying to choose between 4 speaker ay for teachers. He sends out a survey to teachers to help him make the de ossible choices are: . МеСоy (М), • Chuck (C), • Bowden (B), and • Spock (S). he result of the vote is below. |Number of Votes 18 22 18 12 M First M B S |Second Third Fourth C S M S S B M B S B B M se the pairwise comparison method to determine the winner. Iso, determine if the pairwise comparison method violates the irrelevant a riterion. 1. The number of votes needed to win the majority is 2. Fill in the chart to help determine the winner. 18 22 18 12 M vs C M vs B M vs S C vs B C vs S B vs S 3. The winner in a pairwise comparison is owden informs the committee that he cannot speak on the first day for tea ne columns can be combined.

INAMENT Bobbi needs to select six badminton players to represent the school at a tournament. She can choose from Suvash, Debi, Amber, Mirn, Amando, Ravi, Brandt, and Kendra. In how many ways can she choose her six players? Pr Deck nywhere on this slide!

A committee consists of five executives, three women and two men. Their names are Maria (M),John (J), Susan (S), Will (W) and Holly (H). The committee needs to select a chairperson and a secretary. Itdecides to make the selection randomly by drawing straws. The person getting the longest straw will beappointed chairperson, and the one getting the shortest straw will be appointed as secretary. The possibleoutcomes can be represented in the following manner.MS SM HM JM WM MH SH HS JS WSMJ SJ HJ JH WH MW SW HW JW WJHere, for example, MS represents the outcome that Maria is appointed chairperson and Susan is appointed assecretary.(a)  List the outcomes constitution each of the following four eventsA = Event a male is appointed chairpersonB = Event Holly is appointed chairpersonC = Event Will is appointed secretaryD = Event only females are appointed(b)  Calculate P(not A)(c)  Calculate P(B and D)(d)  Calculate P(B or C)   (maria,susan and holly are female/women and john and will are male)

Permutation or Combination? team of 8 basketball players needs to choose a captain and co- captain. = Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip. = The batting order for seven players on a 12 person team = There are 45 applicants for three Computer Programmer positions. = Castel and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks. = There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there? = You are setting the combination on a three-digit lock. You want to use the numbers 123 but don't care what order they are in. = A group of 25 people are going to run a race. The top 8 finishers advance to the finals. = A team of 17 softball players needs to choose three players to refill the water cooler = 5 out of…