There are 6 members of the student council and there are 10 chairs in their meeting room. If all 6 members attend a meeting, how many different seating arrangements are possible? 1,260 151,200 None of these 5,040 25,200

Q: There are 22 students in a fraternity. In how many ways can a committee of 6 students be selected?…

A: Given that Number of students=22 Number of students selected=6

Q: How many different committees can be formed from 6 women and 6 Menifee the committee consists of 5…

A: Solution: From the given information, there are 6 women and 6 men.

Q: A group of 9 biologists, 9 chemists, and 8 physicists want to form a committee of 6 that will…

A: It is given that Biologists = 9Chemists = 9Physicists = 8Total number of members = 26

Q: eight students from a pool of nine female students and seven male students are to be selected to…

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

Q: There are 19 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 19 finalist in the singing competition. Top 4 singers receives prizes. The number of ways…

Q: Twelve people are on a committee. If five of them are to be chosen to serve on a subcommittee, how…

A: There are total 12 people.  Since it is a group of people so order does not matter. So we will use…

Q: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

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Q: There are 32 teams attending the World Football Cup in Qatar. How many ways the championship team,…

A:

Q: Nine students are to be seated in a row of chairs. How many arrangements are possible if 3 students…

A:

Q: How many different committees of3 students (2 male and 1 female) can be formed from a group of 6…

A: Given : 6 students ( 4 males and 2 females) To make committees: 3 students ( 2 males and 1 female)…

Q: Forty-eight students said they had a computer or a TV in their room. Thirty-five have a computer and…

A: 48 students said they had a computer or a TV in their room35 have computer 20 have a TV

Q: The math club needs to select a president, Vice President, treasurer and secretary from 21 members.…

A: There are 21 members and we have to select President, Vice President, Treasurer and Secretary. We…

Q: eight students from a pool of nine female students and seven male students are to be selected to…

A: Given, There are nine female students and seven male students. We want to select eight students.

Q: There are 8 people at an office meeting. How many handshake

A: Formula: If there are n persons, The number of handshakes is, nn-12

Q: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: There are 30 runners entered in this year’s Terre Haute Marathon race. How many different ways can…

A: Given: 30 runners have entered a Marathon race. Required: To find the number of different ways 30…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: How many different committees of3 students (2 male and 1 female) can be formed from a group of 6…

A: Number of total student is 6 (4 male and 2 female) Number of member for committee is 3 (2 male and 1…

Q: A coffee shop serves 14 different kinds of coffee drinks. How many ways can 5 different coffee…

A: The objective is to find the number of ways in which 5 different coffee drinks can be selected from…

Q: There are six members on a student council. Three of these members will serve on a spring formal…

A: Permutation and combination are 2 methods in mathematics. These are deals with the number of…

Q: There are 30 people in the class. We need to select 5 people to form a the committee, how many…

A:

Q: There are 29 students in a homeroom. How many different ways can they be chosen to be elected…

A: Given,Total no.of students=29

Q: a. The large books must always be together. b. The first book and last book must always be medium…

A:

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: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given,  The president has a team of 20 trusted bodyguards  We have to find the number of ways of…

Q: The Cincinnati Angry Unicorns is a local swimming team which currently has seventeen members. If…

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Q: ands have volunteered to perform but there is only enough time for six of the bands to play. How…

A: The techniques used to determine how many outcomes are possible in certain circumstances are…

Q: A law firm has ten male and ten female lawyers. A committee of five, two male lawyers and three…

A: Given: A law firm has ten male and ten female lawyers. A committee of five lawyers, in which two…

Q: student organization of 40 wants needs three people to cover ticket sales at an event. How many…

A: Given n=40 x=3

Q: Six local bands have volunteered to perform at a benefit concert, but there is enough time for only…

A: From the given information ,Total no.of bands performed = 6 We have to find the number of possible…

Q: igh school classes will be chosen to participate in a school activities survey. There are 21 high…

A: Given:6 high school classes will be chosen to participate in a school activities survey.There are 21…

Q: A designer has designed different tops, pants, and jackets to create outfits. How many different…

A: Given six tops, five pants, two jackets

Q: The math club needs to select a President, Vice President, Treasurer and Secretary from their 32…

A:

Q: A four-person committee is to be selected from an organization’s membership of 12 people.  How many…

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Q: A school group is deciding how to line up its 10 members for a photo. The president will go first.…

A:

Q: A company car that has a seating capacity of eight is to be used by eight employees who have formed…

A:

Q: The following people are on 4 different committees. What is the fewest number of meetings that need…

A: The following people are on 4 different committees. To find the fewest number of meetings that need…

Q: After the tryouts for the volleyball team, the coach selects 14 people to join the team. Due to a…

A: To determine the number of ways the coach can choose 7 people out of 14, we use the combinations…

Q: A class has 13 ​students, of which 4 are seniors. How many committees of size 4 can be selected if…

A: Combination of n objects taken r at a time = n!(n-r)!r! where 0≤r≤n.

Q: A pizza restaurant has 11 toppings. How many different 4 topping pizzas could be made

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Q: The Grossmont College Student Council has 12 members.  How many different groups can be formed to…

A: