A buyer of a new sedan can custom order the car by choosing from 5 different exterior colors, 3 different interior colors, 2 sound systems, 3 motor designs, and either manual or automatic transmission. How many choices does the buyer have?

Q: A company has 10 male and 11 female employees, and needs to nominate 3 men and 3 women for the…

A:

Q: Find the number of different ways that an instructor can choose 6 students from a class of 12…

A:

Q: From 7 engineers and 4 scientists, how many committees of seven people are possible with 5 engineers…

A:

Q: How many different committees can be formed from 10 teachers and 30 students if the committee…

A: From the provided information, the total number of teachers = 10The total number of students = 30

Q: A coat hanger has 4 knobs. If you have 6 different colors of paint available, how many different…

A: Given : A coat hanger has 4 knobs. Each knob can be painted any color(different) . We have 6…

Q: A literary magazine editor must choose 4 short stories for this month’s issue from 17 submissions.…

A: Combination: It is the process of selecting certain objects under certain conditions accordingly. In…

Q: In a certain pizzeria you can choose among 3 sizes, 2 crust options, and 5 toppings. If it is…

A:

Q: a different class is made up of 40% women and has 17 women in it.what is the total number of…

A: The class contains 40% women and has 17 women in it. Let x be the total number of students in the…

Q: There are 364 students who are enrolled in an introductory biology course. If there are five boys to…

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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: A fast food restaurant advertises that it offers any combination of 8 condiments on a hamburger,…

A: The number is obtained as follows: The number of choosing none of the condiments on a hamburger:…

Q: in a volleyball club there are 5 senior players and 5 junior players. If the team captain election…

A: Total number of players = 10 Total number of players in volleyball team = 6   Number of ways in…

Q: There are 4 purple plates and 4 blue plates? How many different ways can the plates be stacked? Two…

A: see the hand written solution:

Q: a licensure examinations, an examinee may select 7 problems from a set of 10 questions. In how many…

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Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

Q: Find the number of different ways that an instructor can choose 4 students from a class of 26…

A: In this case, n = 26 and r = 4.

Q: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

A:

Q: on the 12 chefs hat you own, you only have room to pick 5, how many different collections of chefs…

A: Given  Total chefs hat = 12 To pick number of room = 5 To find different collections of chefs hat…

Q: Find the number of different ways that an instructor can choose 6 students from a class of 26…

A: instructor can choose 6 students from a class of26 students.

Q: Find the number of different ways that an instructor can choose 6 students from a class of 32…

A: choose 6 students from class of 32 students for a field trip. no. of ways to choose students = ?

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: A college golf team consists of four players who are ranked from 1 through 4. If a golf coach has…

A: Given that a college golf team consists of four players who are ranked from 1 through 4.

Q: A committee of 3 men and 2 women is to be chosen from a group of 12 men and 8 women. Determine the…

A: Given: A committee of 3 men and 2 women is to be chosen from a group of 12 men and 8 women. To Find:…

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: at the billy restaurant, they have 13 soup, 6 appetizer, 8 salad, 23 entree, and 25 dessert options.…

A: We use combination to find unique course meals .

Q: Each marble bag sold by Raina's Marble Company contains orange marbles for every 4 blue marbles. If…

A: The given data is: Marble Company contains orange marbles for every 4 blue marbles If a bag has 18…

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: The 2010 BMW 335i coupe Is offered with a choice of 12 exterior colors(10 metallic and 2 standard),4…

A: The number of choices for exterior colors is 12, of which 10 are metallic and 2 are standard. One…

Q: There are 156 players on 13 teams. How many players are on each team? players

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Q: Find the number of different ways that an instructor can choose 5 students from a class of 13…

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Q: If a basketball player is a 74% free throw shooter, then, on average, how many free throws will he…

A: Necessary conditions for binomial experiment: For each trial, there are only two possible outcomes,…

Q: A committee of 6 students has to be formed from 10 boys and 8 girls. In how

A: As per Bartleby's guidelines, three parts of the given question can be solved at a given time. Given…

Q: how many ways can 3 outfielders and 4 infidlers be chosen from 5 outfeilders and 7 infeilders?

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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 recording engineer wants to make a CD with 6 songs.  In how many different ways can the CD be…

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Q: If 16 new teachers are to be divided among 4 schools, how many divisions are possible? What if each…

A: Solution: Given data 16 = new Teachers 4 = schools To find: 1.How many division are possible 2.If…

Q: If 8 boats enter a​ race, how many possibilities are there for the first through third place​…

A: The numbers of different possibilities are obtained below: The permutation formula is shown below.…

Q: If someone owns: 7 pants 1 shirt 5 ties 7 jackets, how many different outfits can that person make?

A: We have given that someone owns: 7 pants 1 shirt 5 ties 7 jackets

Q: A college plays 12 football games during a season. In how many ways can the team end the season with…

A:

Q: Find the number of different ways that an instructor can choose 4 students from a class of 18…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: Of the shareholders in a service corporation, 56% are women. If 72,820 shareholders are men, how…

A:

Q: Find the number of different ways that an instructor can choose 3 students from a class of 29…

A: Find the number of different ways that an instructor can choose 3 students from a class of 29…

Q: There are six men and seven women in a ballroom dancing class. If four men and four women are chosen…

A: Given:  Total No of Men=6 Total No of Women=7 Formula used: The formula for combinations is given…

Q: In SSC examination, a student may select 8 questions from a set of 12 questions. In how many ways…

A:

Q: Find the number of different ways that an instructor can choose 3 students from a class of 22…

A: From the provided information, There are 22 students from which 3 students will be chosen for a…

Q: If 500 pizzas will be ordered this month... How many should be cheese? How many should be pepperoni…

A: The relative frequency of single topping pizza sales is shown in the given table.

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…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.