Sunwoo’s closet contains 15 different styles of jacket. In how many ways can New pick out four different styles of jacket for Sunwoo for the summercamp next week if he cares about which day of the week he’d  wear each style?

Q: A person can select one of the five different colors from brick borders, one type of six different…

A:

Q: A casting director wishes to find one cat and one dog to cast in his play. If he plans to audition 5…

A: The objective of this question is to find the number of different ways the casting director can…

Q: How many different sets of three candies can you select?

A: A candy jar has 10 different candies in it three candies are selected from jar

Q: The organizer of a conference is selecting workshops to include. She will select from 8 workshops…

A: We have given that  She will select from 8 workshops about music and 8 about poetry.

Q: A basketball team contains 21 players. If 5 people can be on the court at one time, how many…

A: Given that Number of players (n)=21  Number of people on the court at one time  r=5  We have to find…

Q: Sunwoo’s closet has 18 different styles of jacket. In how many ways can Eric pick out 7 different…

A: Total number of Jackets = 18  Eric need to pick 7 different styles, this can be done in 18C7

Q: A man has 3 different pairs of shoes, 8 different pairs of socks, 4 different pairs of slacks, and 2…

A: We have given that 3 different pairs of shoes 8 different pairs of socks  4 different pairs of…

Q: There are 4 men and 5 women in a room. The leader wants a participation from a group of 2 men and 2…

A:

Q: The Diaz family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There…

A: The objective of this question is to find out the total number of different furniture sets the Diaz…

Q: The Hickory Stick has a selection of 4 meats and 7 vegetables. How many different selections of one…

A:

Q: You are in a class of 10 students. Three students will be picked to be on a committee. A student…

A: Total number of students in a class = 10 number of students picked to be on a committee = 3 A…

Q: There are 24 students in the senior class. Four of the students will be chosen to be the President,…

A: There are total 24 students. We need to select one  President, Vice-President, Secretary, and…

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

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Q: There are fifteen children in the gym class who​ haven't yet been picked to be team leaders. If you…

A: The objective of this question is to find out the number of ways in which four children can be…

Q: You have 10 houses in a row on a one side of a street, going from left to right. You are to paint…

A: Number of houses = 10

Q: Jana has 10 blouses, 5 pairs of shoes, 5 skirts,and 5 hats. How many distinct 'outfits' does she…

A: No.of blouses=10 no.of pairs of shoes=5 no.of skirts=5 no.of hats=5

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

A: Given: Number of books = 5

Q: In an art class with 15 boys and 14 girls, five girls and four boys will be chosen to sing a special…

A: Given: Number of boys=15Number of girls=14 The number of ways five girls and four boys will be…

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A manager has 4 people that can play any of positions. How many

A: In the given situation, there are 4 people that can play any of positions. That is, there are 4…

Q: You must choose an elective for your fourth block class. You can choose from 3 different physical…

A: 3 different physical education classes, 4 different computer classes  2 different culinary classes…

Q: Suppose that we have 10 numbered blocks, 2 RED, 3 BLUE, 4 GREEN, and one WHITE.  How many ways can…

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Q: A person owns three suits, three ties and ten shirts. How many ways can They select a traveling…

A: A person owns three suits, three ties and ten shirts. To find the number is ways of selection of two…

Q: The president of the college asked a fraternity to submit a list of 7 students to serve as guides at…

A:

Q: There are 3 songs in a playlist. How many ways are there to order and play them one by one? Each…

A: The objective of this question is to find out the number of ways to order and play 3 songs one by…

Q: John has five shirts, three pants, two jackets, and three pairs of shoes. How many different outfits…

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Q: Bruce has 5 different jackets, 3 pairs of jeans, and 8 pairs of shoes. In how many ways can he…

A:

Q: A deli offers 6 different toppings. You are allowed 4 different toppings. In other words, you can't…

A:

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.