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: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 1…

A: The objective of the question is to find out the number of ways to choose 1 job out of 4 available…

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 restaurant offers a​ $12 dinner special that has 4 choices for an​ appetizer, 12 choices for an​…

A: The problem is asking us to find the total number of different meals that can be made from the given…

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: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

Q: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

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: A man owns 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets. How many different outfits can he…

A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

Q: The Wycoffs are planning their next family night. They always have dinner out somewhere and then do…

A: The answer is attached below,

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…

A:

Q: A boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets.  How many different outfits can he…

A:

Q: Suppose we want to choose 2 letters, without replacement, from the three letters A, B, C. How many…

A: There is a total of 3 letters A, B, and C. We want to pick 2 letters without replacement.  If the…

Q: Natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4…

A: Given that  Natasha is in a class of 30 students that selects 4 leaders.  To find Number of ways are…

Q: Find the number of different ways that an instructor can choose 7 students from a class of 12…

A: Here we have to find the number of different ways that an instructor can choose 7 students from a…

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…

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.