The Hernandez family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are 2 beds, 5 desks, and 1 dresser to select from. How many different furniture sets could they select?

Q: Don has nine pairs of shoes, six pairs of pants, and seven shirts. If all items are compatible, how…

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Q: A group of 15 boys and 12 girls are planning to have a beach party. How many different committees of…

A: In how many different committees of 3 boys and 2 girls can be formed from this group of students if…

Q: The cafeteria is offering five salads, eight entrees, nine sides, and six desserts. How many…

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Q: Ms. Jones has four skirts, seven blouses, and threesweaters. In how many ways can she choose two of…

A: From the given information in total there are: 4 skirts, 7 blouses, and 3 sweaters. Number of ways…

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

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Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

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Q: Out of a group of eight students serving on the Student Government Association, how many different…

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Q: A ice cream store offers 7 ice cream flavors and 12 toppings. If you want to eat 3 different ice…

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Q: If a family has six children, in how many ways could the parents have two boys and four girls?

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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: In a club of 15 people, we need to choose a president, vice-president, secretary, and treasurer. In…

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Q: A student club consists of 10 freshmen and 8 sophomores. How many different four-person committees…

A: A student club consists of 10 freshmen and 8 sophomores.

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: At a ballroom dance lesson, the instructor chooses 3 men and 3 women to demonstrate a new pattern.…

A: There are 9 women and 7 men in the class, the instructor chooses 3 men and 3 women to demonstrate a…

Q: There are 6 men and 8 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given that there are 8 women and 6 men

Q: A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different…

A: Let, N be the number of different available plansFirst operation (choice of home design) can be…

Q: How many different teams can be formed?

A: Given  there are 10 males and 8 females to find: needs to nominate 3 men and 3 women for the company…

Q: On Halloween, a cartoon character, a bumble bee, a viking, a forest ranger, and a butterfly ring the…

A: here 6 people are in line and come one by one.  here order os selection matters  so this is case of…

Q: A bride is choosing a dress for her bridesmaids. If there are 3 styles, 4 colors, and 5 fabrics, in…

A: Given that, Number of styles = 3 Number of colors = 4 Number of fabrics = 5

Q: have 7 cats and take away 3 how many would i have left

A: Given : Total number of cats = 7

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: As a television executive, you have been given 24 shows to choose from to run during your prime time…

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

A: Here we have to arrange president, vice president and a secretary. An office can be run by only one…

Q: If a club consists of 18 members, how many different arrangements of president, vice- president, and…

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

A: Here, 3 students are chosen from each senior, junior and sophomore.

Q: 2. Your friend Carlos brought over 10 videos. Together, you choose 4 of them to watch. How many…

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Q: ristin Wilson lives in Anderson​, South​ Carolina, and wishes to visit relatives in the following…

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Q: A new employee has a choice of 5 health care plans, 3 retirement plans, and 2 different expense…

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

Q: A restaurant has on its menu four fish dishes, two potato dishes, and two green vegetables. In how…

A: Giventhe total number of fish dishes = 4the total number of potato dishes = 2the total number of…

Q: If a club consist of 15 members, how many different ways are there for the club to fill the…

A: The number of members is 15. The number of position is 3.

Q: A boy owns 3 pairs of pants, 1 shirts, 7 ties, and 5 jackets. How many different out he must wear…

A: From the provided information, A boy owns 3 pair of pants, 1 shirt, 7 ties and 5 jackets.

Q: Agustina owns all five books in the Spiderwick Chronicles series. In how many different orders can…

A: Given: Number of books = 5

Q: There are 3 apples, 5 pears and 4 oranges in a basket. If a waiter were to line up these fruits side…

A: There are 3 apples, 5 pears and 4 oranges in a basket. Total fruits = 3+5+4 = 12 n distinct objects…

Q: If I have 8 apples and take away 4, how many do i have left?

A: You have 8 apples and 4 apples are being taken away. This means number of apples which you have is…

Q: How many different committees can be formed from 7 women and 8 men if the committee consists of 5…

A: We can select 5 women from 7 women in 7C5=21 ways We can select 4 men from 8 men in 8C4=70 ways

Q: A teacher chooses 3 of her 22 students to help clean the room after school. In how many ways can the…

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Q: A croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants,…

A: Type of croissants = r = 6   if we need to distribute "n"  number of croissants among " r " number…

Q: There are 4 men and 7 women auditioning to be in the school play. Answer the following questions:…

A: The number of ways 2 women , and 2 man can be selected from 4 men and 7 women is,…

Q: how many ways can a coach select a guards? starting five of one center, two forwards and two

A: here given , basket ball team consist of 2 centers 4 forward and four guard

Q: Out of a group of 20 children, 10 drink tea, 9 drink coffee and 7 drink milo. 4 drink tea and coffee…

A: Given Number of children drink tea = n(T) = 10 number of children drink coffee = n(C) = 9 number of…

Q: There are five action, three drama, and four comedy films showing at a local  mall. If Phoebe goes…

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Q: If a club consists of 12 members, how many different arrangements of president, vice-president, and…

A: Given that  a club consists of 12 members. We have to find the number of different arrangements of…

Q: As a television executive, you have been given 22 shows to choose from to run during your prime time…

A: Total number of shows Available n = 22 Total shows to be selected r = 12

Q: Ifa restaurant menu offers 7 appetizers, 6 main courses, and 11 desserts, how many different meals…

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Q: As a television executive, you have been given 19 shows to choose from to run during your prime time…

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Q: If a family has seven children, in how many ways could the parents have three boys and four girls?

A: Since there are 7 children. To find the number of ways such that parents have three boys and four…

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

A:

Q: There are 5 men and 8 women auditioning to be in the school play. Answer the following questions: 1.…

A: Given : Number of men = 5 Number of women = 8

Q: As a television executive, you have been given 8 shows to choose from to run during your prime time…

A: Total number of shows available = 8 Available time slot = 6