A student representative group is composed of Adam, Beth, Cathy, David, Erica, Fritz, and Gideon. From this group, a president, vice-president, secretary, treasurer, and spokesperson needs to be chosen to form a committee, the remaining members being co-opted members. Suppose Cathy has been chosen as president and Adam as vice- president. In how many different ways can the remaining three spots of the committee be filled?

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

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A: Given, 7 women and 8 men committee size 4 men and 3 women

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A:

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

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A: Given Information: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, 2. honey…

A: Given: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

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

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

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Q: In how many ways can a committee of five men and four women be formed from a group of six men and…

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Q: From a group of 11 Democrats and 9 Republicans, a Social Justice committee of 6 must be chosen…

A: Note: We are required to answer only first 3 subparts, unless specified. Given: Number of Democrats…

Q: Student Painters, which specializes in painting the exterior of residential buildings, has nine…

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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

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A:

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

A:

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

A:

Q: In how many ways can a committee of three men and two women be formed from a group of six men and…

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A: Given A boy scout troop has 10 members. To find a. How many ways can the Troup Leader select 3…

Q: A student committee is to consist of 2 freshmen, 4 sophomores, 3 juniors, and 5 seniors. If 11…

A:

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: 2. Dylan, Andrew, Hailey, and Jordan ran in a race of 25 people. In how many different orders can…

A: 2. There are 4 people Dylan,Andrew,Hailey and Jordan Here The places are also 4 The race are start…

Q: a. Determine the number of ways that we can choose committee of 4. b. Determine the number of ways…

A: Solution;  Total nonof students =10  No of men=6. & No of women=4 a): to choose a committee of 4…

Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?

A:

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: In a class of 15 boys and 10 girls, in how many ways may a committee made up of 3 boys and 2 girls…

A: Given:  15 boys and 10 girls.

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A:

Q: In a group of 24 people who like rock, country, and classical music, 14 like rock, 17 like…

A:

Q: A company needs to create three new departments and there are seven managers competing to run these…

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

A:

Q: If there are three candidates for governor and five for mayor, in how many ways can the two offices…

A: We have given that  Candidates for governor = 3 Candidates for mayor = 5 Total candidates = 8

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A: There are 15 marbles in the jar labelled 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15. 1 Marble is drawn with…

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

Q: In how many ways can a committee of three men and four women be formed from a group of 12 men and 12…

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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: there are 18 people from the mathematics department and 325 people from the computer science…

A: see my solution below

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A: Given information- We have given that in the Student Engineering Council each engineering majors…

Q: 4. Ms. Green must choose three students from her chess club to speak on the Rebel Report. If the…

A: Given that  Total member=8 She choose member=3

Q: A small high school has 35 seniors, 25 juniors, and 15 sophomores. If 3 students are chosen from…

A:

Q: In how many ways can a committee of three men and four women be formed from a group of eleven men…

A: Given,no.of mens=11no.of womens=10

Q: How many ways can 10 people (Luffy, Zoro, Nami, Usopp, Sanji, Chopper, Robin, Franky, Brook, Jimbei)…

A:

Q: In how many ways can a committee of 4 men and 5 women be formed from a group of 12 men and 8 ​women?

A: nCr=n!r!(n-r)!

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

A:

Q: In how many ways can a committee of four men and three women be formed from a group of eight men and…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.