From the 8 male and 9 female sales representatives for an insurance company, a team of 2 men and 3 women will be selected to attend a national conference on insurance fraud. In how many ways can the team of 5 be selected?

Q: How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25…

A: The number of ways r items can be selected out of n different items is equal to C(n, r) . The…

Q: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

A: The coach of a volleyball team has to select 6 players to start a match from a squad of 10 players.…

Q: A university hires 7 male instructors and 4 female instructors. In how many ways can it choose from…

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Q: The research director of NASA must choose three experiments to send to the International Space…

A: The total number of experiments proposed = 17 Number of experiments need to be chosen = 3 We have to…

Q: From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

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Q: from a group of 21 people, how many different ways an a committee consisting of a president,…

A: Combinatorics are mathematical techniques that determines the number of possible arrangements in a…

Q: How many ways are there to choose a committee of 4 members, 2 men and 2 women, from 5 fraternal…

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Q: A business has hired 12 new employees and must assign 8 to the day shift and 4 to the night shift.…

A: We have given that  A business has hired 12 new employees and must assign 8 to the day shift and 4…

Q: A photographer is asked to submit 7 photos from a collection of 14. How many ways can the photos be…

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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: From the 6 male and 11 female sales representatives for an insurance company, a team of 4 men and 2…

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Q: A company has 8 male and 7 female employees, and needs to nominate 3 men and 3 women for the company…

A: Number of male employees = 8 Number of female employees = 7

Q: At Rosemont High School, 14 players are on the varsity bas- ketball team, 35 players are on the…

A: Given: Let A denotes the varsity basketball team and B denotes the varsity football team then,…

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: How many different committees of 3 people can be chosen from a group of 8 people?

A: Total number of people in the group are 8. Total number of people for the committee is 3.

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Given that Full time faculty member=19 10 female faculty members and 9 male faculty member

Q: How many ways can a delegation of 55 Republicans, 55 Democrats, and 22 Independents be selected from…

A: Given data Number of Republicans = 77 Number of Democrats = 77 Number of Independent = 33

Q: If 11 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many…

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Q: From the 11 male and 11 female sales representatives for an insurance company, a team of 4 men and…

A: From the 7 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

Q: How many ways can a delegation of 5 Republicans, 5 Democrats, and 2 Independents be selected from a…

A: As we need to choose any 5 republicans from a group of 7 republicans, so we have 7C5 possible ways.

Q: How many different committees can be formed from 9 teachers and 44 students if the committee…

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Q: In a club consisting of 15 members, how many different ways can a 4-person committee where everyone…

A: It is given that the club contains 15 members.

Q: From the 8 male and 10 female sales representatives for an insurance​ company, a team of 2 men and 4…

A: From 8 male sales representatives  , 2 men can be selected in 8C2 = 28 ways. From 10 female sales…

Q: From the 9 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 3…

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Q: A club with 25 members is selecting a committee of 6 people. In how many ways can this be done?

A: *concept:- use defination of Combination.

Q: A company has 12 male and 8 female employees, and needs to nominate 3 men and 3 women for the…

A: Solution-: A company has 12 male and 8 female employees and needs to nominate 3 men and 3 women for…

Q: From the 7 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

A: Given ,           No of males=7          No of females=6

Q: A company has 9 male and 7 female employees, and needs to nominate 2 men and 2 women for the company…

A: Combination:         A combination is a selection of all object or part of a set of objects, without…

Q: From a group of 20 nurses, 4 are to be selected to work a night shift. In how many ways can this be…

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Q: A computer company has 5 vaccines in its executive trainee program. The company must select the…

A: Given - A computer company has 5 vaccines in its executive trainee program. The company must select…

Q: In a local club composed of 27 people, how many ways can 1 president, 1 vice President, 1 secretary…

A: Total number of people composed = 27

Q: How many different teams of 4 members can be selected from a pool of 20 applicants?

A: The combination formula is given by

Q: 4. How many committees of 4 men and 7 women can be selected from a group of 9 men and 10 women?

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: How many ways can you select 3 students from a class of 30 students to serve as representatives for…

A: Follow the procedure given below.

Q: A health inspector must visit 3 of 8 restaurants on Monday. In how many ways can she pick the 3…

A: Total number of restaurants is = 8  She has to pick 3 restaurants.  Here the arrangement does not…

Q: Faculty at a certain university need to create a committee to evaluate the general studies…

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Q: A photographer is asked to submit seven photographs from a collection of 14 for an exhibit. In how…

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Q: From a group of 7 men and 6 women, any five persons are to be selected to form a committee. In how…

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Q: Suppose that a drama class has 22 students. a. In how many ways can four students be selected to…

A: a) We will select a group of 4 students from 22 students. So arrangement is not required. That means…

Q: From a group of 20 people, 12 are selected to serve on a jury during a trial. How many different…

A: The total number of combinations possible if we select r things which are chosen at a time  from n…

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

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Q: How many committees can be formed from 12 men and 12 women if the committee must consist of 3 men…

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Q: How many ways can a delegation of 2 Republicans, 2 Democrats, and 2 Independents be selected from a…

A: Given dataRepublicans = 4Democrats = 4Independent = 3

Q: A committee of ten people must choose a president, a vice president, and a secretary. In how many…

A: Given that, A committee of ten people must choose a president, a vice president, and a secretary.…

Q: A club with 23 members is to select a committee of six persons. In how many ways can this be done?

A: Given: The number of members in a club is equal to 23, To find: The number of ways of selecting a…

Q: There are seven boys and five girls in the debate squad at Franklin High School. In how many ways…

A: Given: Number of boys = 7 Number of girls = 5 Number of members selected = 4 Number of boys required…

Q: rom the 7 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 4…

A: It is given, Number of male representatives is 7, Number of female representatives is 6, A team of 8…

Q: In a club with 10 male and 11 female members, how many 6-member committees can be selected that have…

A: Determine the number of 6 member committees can be selected that have not more than 2 men.   The…

Q: From the 6 male and 6 female sales representatives for an insurance​ company, a team of 2 men and 4…

A: We will find out the required value.

Q: If there are 22 members in a club, how many ways can a President, VP, Secretary, and Treasurer be…

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