A committee is comprised of 5 mathematicians, 2 historians, 7 economists, and 5 scientists. How many sub-committees of 5 members can be formed if the sub- committee must contain: (a) at least 2 economists? (b) at least one member from each area?

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method.  We can select 5 women…

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Q: A six-member scientific committee is to be chosen from amongst 7 virologists, 5 epidemiologists, 4…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: How many six-person volleyball teams be made from a group of six men and three women if: a. If two…

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Q: A software company employs 9 sales representatives and 8 technical representatives. How many ways…

A: Solve in the following way

Q: From 10 statisticians and 7 economists, a committee of size 6 is to be formed. How many different…

A: Note: " Since you have asked multiple sub-parts, we will solve the first three sub-parts for you. If…

Q: A board of directors of 3 people, including chairman, vice chairman and secretary, will be elected…

A: It is given that, Total number of person =20 and A board of directors of 3 people, including…

Q: The Managing director of a company wishes to form a committee consisting of 4 members from a pool of…

A: We have to find no of different combinations possible.

Q: In a club with 7 male and 11 female​ members, how many 4-member committees can be chosen that have…

A: (a) From the given information, the club with 7 male and 11 female members. And 4-member committee…

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 committee of 5 members has to be formed from 8 boys and 12 girls. Find the number of ways to form…

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Q: A firm has 2 Managers, 5 Consultants and 4 Analysts. How many ways can a committee be formed…

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Q: From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

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

A:

Q: From  a group of 4 men and 5 women, how many committees of size 3 are possible: a) with no…

A: Given,no.of men=4no.of women=5total no.of people=9

Q: 1. How many different committees of 3 chemists and 2 physicist can be formed from the 8 chemists and…

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Q: How many different committees of size  3  can be formed from  15  people?

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

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Q: there are 5 faculty, 4 students, and 3 office staff eligible to serve on a 6 person committee. how…

A: At most 1 means 0 or 1 faculty member If there are 0 faculty members then we have to select 6…

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: The senate in a certain state is comprised of 59 Republicans, 38 Democrats, and 3 Inpendents. How…

A: Given that the senate in a certain state is comprised of 59 Republicans, 38 Democrats, and 3…

Q: The Student Council at a certain school has 11 members. Out of those members, a committee consisting…

A: Given information: The student council at a certain school has 11 members. From the 11 members, a…

Q: A firm has 2 Managers, 5 Consultants and 4 Analysts. How many ways can a committee be formed…

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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: From the 10 male and 7 female sales representatives for an insurance company, a team of 4 men and 2…

A: Given that from the 10 male and 7 female sales representatives for an insurance company a team of 4…

Q: How many formations of committee from 10 persons are possible if the committee consists of one…

A: In this question, the concept of Permutation and Combination is applied. Permutation  Permutations…

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

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Q: From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different…

A: From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different…

Q: Suppose a class has 20 students and there are 11 males and 9 females. How many ways can a committee…

A: Given Total students = 20 males = 11 females = 9

Q: How many committees can be formed by choosing 4 men from an organization of a membership of 15 men?

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Q: a city council with six members must elect a four-person executive committee consisting of a​ mayor,…

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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 different committees can be formed each consisting of 4 men and 4 women from a pool of 9…

A: The number of men in the pool are 9. The number of women in the pool are 10. The number of men…

Q: From a club of 24 members, a President, Vice President, Secretary, Treasurer and…

A: Given Data: The number of members in the club is: n=24 Five members such as a president, vice…

Q: From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different…

A: Given that, No.of statisticians = 5 No.of economists = 6 Consider that a committee of size 6 is to…

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

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Q: How may different committees of 3 students( 2 male and 1 female) can be formed from a group of 6…

A: We have to find no of different committee..

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: How many different committees of three persons each can be chosen from a group of twelve people?

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

Q: A committee of 6 men and 4 women is to be chosen from a group of 14 men and 11 women. Determine the…

A: 2) Solution: Given information: 14 Men  and 11  women    A committee of 6 men and 4 women is to be…

Q: how many ways can the committee be formed?

A: Given: 34 faculty members are present  We need to select a chair, vice chair , secretary and 5…

Q: How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1…

A: Since we need at least 1 republican and at least 1 democrat in the committee. So we pick 1 of each…

Q: How many ways are there to select 12 countries in the United Nations to serve on a council if 2 are…

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Q: A committee of 4 people need to be selected from twenty numbers of an organization. How many…

A: Given, A committee of 4 people need to be selected from twenty numbers of an organization.

Q: A five-person committee is to be selected from an organization's membership of 19 people. How many…

A: It is given that, An organization has 19 people out of which 5 person committee is to be selected.…

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: A committee is comprised of 5 mathematicians, 2 historians, 7 economists, and 5 scientists. How many…

A: Given that, A committee is comprised of 5 mathematicians, 2 historians, 7 economists, and 5…