A university hires 7 male instructors and 4 female instructors. In how many ways can it choose from 9 male and 6 female applicants?

Q: A volleyball team will be dispatched from a school. If the current volleyball club has 10 members,…

A: A volleyball team has 6 members . Here, there are 10 members in club and we need only 6 of them.

Q: There's a club of 10 men and 13 women. In how many ways can they choose a president, Vice President,…

A:

Q: How many ways can a delegation of 4 Republicans, 3 Democrats, and 3 Independents be selected from a…

A: Given data Number of Republicans = 9 Number of Democrats = 9 Number of Independent = 4

Q: A class of 50 students consists of twenty four boys and 26.how many different ways can 5 students be…

A: Given: A class of 50 students with 24 boys and 26 girls are there. Now ,total of 5 students are…

Q: From 5 doctors and 3 lawyers, a committee consisting of three members will be formed. In how many…

A: From 5 doctors and 3 lawyers, a committee consisting of three members will be formed. In how many…

Q: How many ways can a delegation of 4 Republicans, 4 Democrats, and 2 Independents be selected from a…

A:

Q: A semiconductor company will hire 8 men and 5 women. In how many ways can the company choose from 12…

A:

Q: A baseball team has 13 members: 10 male and 3 female. How many ways are there for choosing a roster…

A: Given that a baseball team has 13 members: 10 males and 3 females,

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 shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

A:

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

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

Q: Suppose a class consists of 5 students majoring in Mathematics,5 students majoring in Islamic…

A: The class consists of 5 students majoring in Mathematics,5 students majoring in Islamic Studies and…

Q: in how many ways can a jury of 5 men and 7 women be selected from 10 men and 10 women?

A:

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: How many different committees can be formed from 7 teachers and 39 students if In how many ways can…

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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: From the 8 male and 9 female sales representatives for an insurance company, a team of 2 men and 3…

A: There are 8 men and 9 women representative for an insurance company, and we have to select 2 men and…

Q: How many different committees can be formed from 9 teachers and 32 students if the committee…

A:

Q: From the 12 male and 12 female sales representatives for an insurance company, a team of 4 men and 2…

A:

Q: How many different committees can be formed from 9 teachers and 35 students if the committee…

A: We can pick 2 teachers from 9 teachers in 9C2 = 36 ways. We can pick 4 students from 35 students in…

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…

A:

Q: The current US Senate consists of 53 Republican members, 45 Democratic Members, and 2…

A: From the provided information, Total Republican members = 53 Total Democratic members = 45…

Q: How many different committees can be formed from 11 teachers and 42 students if In how many ways can…

A:

Q: The math club needs to send 4 representatives – 2 females and 2 males to a meeting. If there are 12…

A: GivenNo. of female math club members = 12No.of male math  club memebrs = 23no.of representatives  to…

Q: If 5 students are to be seated in 5 chairs, how many ways can they be seated in a circle?

A: Let, n be the number(n)=5 The total number of arrangement = 1 x (n-1)!…

Q: A company has 12 males and 9 female employees, and needs to nominate 2 men and 2 women for the…

A: Determine the number of teams can be formed.   The number of teams that can be formed is…

Q: The number of ways can select a cricket team of 11 players out of 14 players is_

A:

Q: A club of 8 people wants to choose an executive board consisting of president, secretary, treasurer,…

A: The problem can be solved using the concept of permutation and combination.

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: 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: Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in Islamic…

A: Given, Suppose a class consists of 4 students majoring in Computer Science, 4 students majoring in…

Q: There are 13 female board members and 17 male board members. How many ways are there to make a…

A: From the provided information, There are 13 female board members and 17 male board members. Total…

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 ways can 3 outfielders and 4 infidlers be chosen from 5 outfeilders and 7 infeilders?

A:

Q: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways…

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

Q: A college has 3 entrance gates and 2 exit gates. In how many ways can a student enter then leave the…

A:

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: From a league of 25 players, we want to choose 11 players for a football match. A goalkeeper, a…

A: We have to find correct answer..

Q: There are 9 female board members and 21 male board members. How many ways are there to make a…

A: given that there are 9 female board members and 21 male board members.

Q: A jury of 12 people is to be chosen from 10 men and 12 women. How many ways can a jury of 6 men and…

A: Given problem Given that   A jury of 12 people is to be chosen from 10 men and 12 women.

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 44 members. In how…

A:

Q: A semiconductor company will hire 5 men and 4 women. In how many ways can the company choose from 8…

A: GivenNo.of women = 8No. of men = 9

Q: A committee of 6 people is chosen from 8 women and 8 men. How many different committees are possible…

A: Given that, a committee of 6 people is chosen from 8 women and 8 men. This is a combination problem…

Q: an engineering firm consists of 30 project engineers and they need to choose 4 project engineers to…

A:

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: Suppose there are 8 male professors and 5 female professors teaching a Math class. How many ways can…

A: Sum rule principle:   Let E1 denote the first event that an occur in m ways and then E2 denote the…