On a certain senate subcommittee there are five senators: Avi, Bonita, Chloe, Dean, and Ellen. Three of these members are to be appointed to a subcommittee How many possible subcommittees are there? ..... There will beNpossible subcommittees.

Q: A committee has 20 people.  In how many ways can a President, Vice-President, and Secretary be…

A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: A class held a quiz bee for their different classes and students were awarded medals in different…

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Q: From a pool of 300 candidates the office of president, Vice President, secretary, and treasurer will…

A: Given that,Total number of candidates = 300Total number of required candidates = 4

Q: In a club with 20 members, how many ways can a slate of 3 officers consisting of president,…

A: This question is related to permutation and combination. The solution is given below

Q: From a club of 17 people, in how many ways can a group of six members be selected to attend a…

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Q: 9 freshmen, 9 sophomores, 8 juniors, and 7 seniors are eligible to be on a committee. In how many…

A: Solve

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Given : Total number of people = 20 Number of committee member = 6

Q: A group has 10 men and 7 women. If 6 people are selected for a committee so that the majority of the…

A: Total number of people are 10+7=17 For the committee to be made with majority women, number of…

Q: A club with five members is to choose three​ officers: ​ president, vice-president, and​…

A:

Q: A class has 10 boys and 12 girls. In how many ways can a committee of four be selected if the…

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Q: In a police departmets there are 7 policemen. If there are 7 districts that should be on patrol, how…

A: Given that total policemen, n= 7 And districts, r= 7

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

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Q: From 6 gentleman and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done,…

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Q: A club with ten members is to choose three​ officers: ​ president, vice-president, and​…

A:

Q: how many ways can those offices be​ filled?

A: Given that: A club has 7 members.

Q: A jar contains four white balls, eight black balls, and six red balls. In how many ways can two…

A: Given :Total number of balls in a Total number of white balls = 4 Total number of black balls = 8…

Q: In a student organization, there are 11 freshmen, 8 sophomores, 19 juniors and 24 seniors. 1. How…

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Q: The Raiders and Cowboys have each made up a scouting list. There are 25 players on the Raiders' list…

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Q: there are 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the probability for selections formula, nCr = n!/(n-r)! * r!

Q: There are 18 males and 14 females in a classroom. A president, secretary and vice-president must be…

A: Given that  Number of males = 18 Number of females = 14 Total number of people = 32   We know that…

Q: If 4 out of 6 students at a college are full-time students, what is the enrollment at the college if…

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Q: From a club of 16 people, in how many ways can a group of five members be selected to attend a…

A: Given Data: The number of people in the club is: n=16 The number of members required is: x=5 The…

Q: An equestrian club has seven members. If the club wants to select a president, vice president, and…

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Q: Out of 5 class representatives and 7 prefects, a committee consisting of 2 class representatives and…

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Q: A committee must be formed with 3 teachers and 5 students. If there are 8 teachers to choose from,…

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Q: A club with eighteen members is to choose three officers: president, vice-president, and…

A: topic - permutations and combinations

Q: A small town have five police cars: when a call comes in the dispatcher may dispatch no cars, one…

A: Given that there are 5 cars.  The dispatcher may dispatch no cars, one car, two cars, three cars,…

Q: How many ways are there to select the 5-person committee such that exactly 2 local business owners…

A: We have given that  Total number of volunteers = 20 Number of homeowners = 11 Number of local…

Q: There are 10 guest at your home for a dinner party. In how many ways could the guests arrange…

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Q: There are 55 members on the board of directors for a certain non-profit institution. If they must…

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Q: If a club consists of 13 members, how many different arrangements of president, vice-president, and…

A: Here we have to arrange president, vice president and a secretary. An office can be run by only one…

Q: A committee of 5 is to be chosen from a group of 10 people. How many ways can it be chosen, if Bill…

A: Below the solution

Q: If a board has 5 women and 4 men. How many ways can you form a committee containing 3 members such…

A: Given that a board has 5 women and 4 men. Now we want to form a committee containing 3 members such…

Q: There are 10 people to be selected from. How many committees are possible?

A: Here use combination

Q: There are 3 vacancies on the scholarship committee at a certain university. In order to balance the…

A: From the provided information, There are 3 vacancies on the scholarship committee at a certain…

Q: A club with eleven members is to choose three​ officers: ​ president, vice-president, and​…

A: A club with eleven members is to choose three​ officers: ​ president, vice-president, and​…

Q: A committee consists of 5 people Smith,Jones,Clark,Brown and White in how many ways can the members…

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Q: A marketing company did a survey to find out what kinds of soda people drink. The survey found that…

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Q: There are 25 people in a club. In how many ways can the club elect a president, a secretary and a…

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Q: If a club consists of 12 members, how many different arrangements of president, vice-president, and…

A: Given that  a club consists of 12 members. We have to find the number of different arrangements of…

Q: From the 9 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

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Q: If a club consists of 8 members, how many different arrangements of president, vice-president, and…

A: Given that Number of memebers in a club =8 To find number of different arrangements of…

Q: Suppose you are asked to choose three movies. If there are 20 different movies, in how many ways can…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: A veterinarian surveys 28 of his patrons.  He discovers that 12 have dogs, 10 have cats, and 6 have…

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Q: there are 4 men and 5 women to form a meeting of a man and a women, in how many ways can a committee…

A: Given,no.of men=4no.of women=5

Q: There are  10  women and  5  men signed up to join a ballroom dance class. In how many ways can…

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Q: Two freshmen and three sophomores from a sorority will attend a conference. If the sorority has 12…

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Q: How many ways are there to select an all-star team which includes all members from A, all members…

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Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

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