Find the number of ways to divide 20 people into Group A (8 people), Group B (7 people) and Group C (5 people) if Alex must be in Group A and Bill and Sue must be in Group B.

Q: Find the number of ways in which 2 boys and 6 girls can be seated in a row if the two boys must not…

A: As per our policy we can solve only 1 question per post. Kindly repost for remaining questions.

Q: There are 8 boys and 7 girls in the debate team at Central High School. In how many ways can a…

A: We have 8 boys and 7 girls in the debate team.  We need to make a team consisting of 4 members, such…

Q: A school principal plans to form teams from 132 third‐graders, 120 fourth‐graders, and 204…

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Q: James owns 8 different mathematics books and 6 different computer science books and wish to fill 5…

A: Here , Order is not important . Hence use combination to find arrangement of books in a shelf .  n =…

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

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

Q: 2. Explain how you would find out how many committees of 4 boys and 2 girls can be found from a…

A: Here use combination

Q: A pianist plans to play 9 pieces at a recital. In how many ways can she arrange these pieces in the…

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

A: Determine the number of different committees formed with three females and 2 males.   The number of…

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

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

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Q: A contractor would like to build 9 houses, each with a different design. In how many ways can he put…

A: A contractor would like to build 9 houses, each with a different design. Assume,  first house is…

Q: How many different routes can a saleswoman have if she must visit eight different companies in a…

A:

Q: A club has 21 sophomores and 13 freshmen president, secretary, and a committee of four, what is…

A: so it can be solve by using

Q: I am arranging my dog's collars on a 6 hanger coat rack on the wall.  If she has six collars, how…

A: Given that there are 6 hangers and there are 6 collars.  So I can hang the first collar in 6 ways.…

Q: A club with 20 women and 17 men needs to form a committee of size six. How many committees are…

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Q: Jennifer is selecting her classes for the Spring semester. She plans to take 4 courses, one math,…

A: GivenTotal number of courses Jennifer plan to take = 4total number of Math sections = 3total number…

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: As per given information: He puts the chocolate into group of 11 Then he is putting 48×93=4464…

Q: There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many…

A: Given,   There are 8 members on a board of directors. If they must form a subcommittee of 6 members.

Q: From a group of 10 student representatives, 5 will be chosen to work on a committee. How many…

A: Given that from a group of 10 student representatives, 5 will be chosen to work on a committe

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: How many committees of six can be formed from 17 Republicans and 14 Democrats if three members of…

A: Given : 17 Republicans and 14 Democrats

Q: A pianist plans to play 3 pieces at a recital. In how many ways can she arrange these pieces in the…

A: Given, A pianist plans to play 3 pieces at a recital no. of ways to arrange these pieces in the…

Q: if 1 cup gives 20 servings, and 1/2 cup gives 40 servings, how do i figure out how many servings 3/4…

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Q: Mr.Dela Cruz needs to select a team of 9 for his basketball team.There are a total of 20 available…

A: It is given that, there are a total of 20 available players and Mr Dela Cruz needs to select a team…

Q: From a league of 20 players, we want tô chööse match. A goalkeeper, a captain and 9 players. In how…

A: Given Total number of players=20

Q: How many ways can the 9 drummers of a marching band be split into 2 rows of 6 and 3 if order within…

A: Given, There are 9 drummers We have to split into 2 rows of 6 and 3 So,

Q: the difference Between the number of arrangements using all the letters informed and the number of…

A: Given letter is SALADS.

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: In a medical supply​ room, there are 165 packages of type O positive blood and 210 packages of type…

A: Given Information - Number of type O positive blood packages = 165 Number of type AB negative blood…

Q: At the beginning of 2002, an ice cream shop claimed to have "nearly 1,050 different ice cream…

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Q: Find the seating capacity of a movie house with 40 rows of seats if there are 25 seats in the first…

A: Given that First row has 25 seatsSecond row has 28 seatsThird row has 31 seats and so on.Total…

Q: A pianist plans to play 4 pieces at a recital. In how many ways can she arrange these pieces in the…

A: Factorial of a number:   It is a non-negative integer n which is defined by the product of all…

Q: In a science classroom, where labs are performed, students are seated at lab tables. If the teacher…

A:

Q: Amber has eleven paintings and have room to display only three of them at a time on her wall. How…

A: Given that, Amber has 11 paintings and have room to display only three of them at a time on her…

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: A team plays 15 games a season. In how many ways can it have 8 wins and 7 losses?

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Q: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

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Q: There are 5 different types of fruits and n different types of vegetables in a grocery shop. If…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Suppose Albers Elementary School has 39 teachers and Bothel Elementary School has 98 teachers. If…

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Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…

Q: The department has 5 faculty members and 15 students. How many ways can you form a committee of 7…

A: It is given that the department has 5 faculty members and 15 students. A committee has to be formed…

Q: From the group of 5 freshmen, 6 sophomores and 8 seniors, how many committees can be formed if each…

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Q: A piggy bank contains P1, P5, and P10 totaling P100. There are 26 coins in all and there are 2 more…

A: Given ,  A piggy bank contains P1, P5, and P10 totaling P100 There are 26 coins in all and there are…

Q: Find the number of different ways a grade A, B, C or D can be assigned to three students of a class…

A: Suppose we have three students x , y and z Now  x has 4 grade options y has 3( As one is already…

Q: Find the number of ways in which 6 teachers can be assigned to 4 sections of a math course if no…

A: Solution: 5. From the given information, there are 6 teachers and 4 sections.

Q: A philanthropist, on his free day, seeks to visit an orphanage from the seven orphanages he supports…

A: Given information No of orphanages = 7 No of elementary school = 10 No of care homes = 8

Q: There are 6 different types of fruits and n different types of vegetables in a grocery shop. If…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: How many ways are there to select 2 people from a group of 7 to serve on a committee? What kind of…

A: We have given there is group of 7 and we have to select 2 people from this group to serve on a…

Q: A company has 12 male and 11 female employees, and needs to nominate 2 men and 2 women for the…

A: A company has 12 male and 11 female employees. company needs to nominate 2 men and 2 women for the…

Q: there are 19 members on a board of directors. If they must form of a subcommittee of 4 members ,how…

A: Given that the total number of members on a board of directors is 19. They must form a subcommittee…