Evaluate the following permutations. Check your results using the prb button on your calculator. Permutations on Calculator There are 88 children that are taking turns using the swing on a playground. How many different ways are there in which they each can use the swing where everyone gets exactly one turn?    Dustin has 1313 books on his summer reading list. He wants to choose 44 books to read in order from first to last. In how many ways can he do this?    The student council has 1111 students. They need to choose a President, Vice President, Secretary and Treasurer for student council. In how many ways can the 44 different positions be appointed from the 1111 students?    Alfonso is creating a 55 digit passcode using the digits 00 through 99. How many 55 digit passcodes are possible if the numbers cannot be repeated?

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: You are taking a true false quiz in another class with a total of 6 questions. How many different…

A: here given that class test have different types of options given in first case only two choices true…

Q: how many different ways can the five letters a,b,c,d & e be arranged?

A: Formula :

Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together?

A:

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: 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: Choosing 3 household chores to do for a day. Combination Permutation

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Q: of cookies. To thank your math professor for doing such an amazing job all semester, you decide to…

A:

Q: You have 6 different video games. How many different ways can you arrange the games side by side on…

A: Given,Total no.of video games=6

Q: A committee has 1919 members. A subcommittee of 55 members must be chosen for a subcommittee. In…

A: Given Information: 1) A committee has 1919 members. A subcommittee of 55 members must be chosen for…

Q: How many ways are there to arrange the letters in the word OHIO? Number

A: Note: According to our guidelines we can answer only first question and rest can be reposted.

Q: In a lottery game, a player picks 9 numbers from 1 to 40. How many different choices does the player…

A: pick 9 numbers from 1 to 40. order doesn't matter. no. of ways to choose = ?

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

A:

Q: In the game Salt and Sanctuary, you can choose one of the 15 classes for your character, and each…

A: In the beginning, I need to choose one of the 15 classes. So, that can be done in 15C1 = 15…

Q: You and nine of your classmates are attending an event. How many ways can you be arranged in a…

A: You and nine of your classmates are attending an event.so total number of classmates  =10

Q: Which word has the most permutations of its letters? breeze relate dares divide

A: Introduction The permutation is an arrangement of objects in a definite order.

Q: Please answer step by step. Thank you! Decide the number of possibilities of the given situation:…

A: It is required to pick 3 questions from a bank of 39 questions. n=39 r=3

Q: Jen would like to use the first week in May to visit one city, and the first week in June to visit…

A: Given: Jen would like to use the first week in may to visit one city and the first week in June to…

Q: The following are the grades of 16 students in Life and Works of Manny Pacquiao subject:…

A: Average=sum of the observationsno.of observations

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: Andrew a sales representative of Data Network Company (DNC) must visit 6 towns within the coast…

A:

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: How many different choices of car do you have if a particular model comes in 12 colors and 4 styles…

A: Total car = number of deferent colour x no of style.

Q: use combination or permutation At Heinz's Burger place, you can get a single, a double, or a triple…

A: Given that At Heinz's Burger place, you can get a single, a double, or a triple burger. You also…

Q: How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same…

A:

Q: Decide whether you would use a permutation, a combination, or neither. Next, write the solution…

A: The objective of this question is to determine the number of ways a committee of five persons can be…

Q: Four math clubs go to a conference and meet up for lunch. They introduce themselves to each other…

A: The scenario in which four math clubs go to a conference and meet up for lunch.Every member of each…

Q: In a nationwide poll done in 2009, the proportion of respondents who thought that it should be…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted...…

Q: You are arranging some old books into boxes. If you put 5 books in each box there are 3 remaining.…

A: Let there are n books total.   Given that If you put 5 books in each box there are 3 remaining.  So…

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: Natalie has homework in seven subjects. She is deciding what order to complete them in. Here are the…

A:

Q: ope ITions Number What are the next three numbers in each pattern? x3 -5 x3 -5 3, 9, 4, 12, 7,

A:

Q: In a lottery game, a player picks 8 numbers from 1 to 49. How many different choices does the player…

A: From the provided information,The player has to pick 8 numbers from 1 to 49.

Q: The letters in the word APPLE are arranged in a row. How many unique arrangements are there of the…

A: We have given that Word "APPLE"

Q: Show work please In a company, you need to pick from your employees to be the manager, the…

A: We have 6 different person to choose for 6 positions from 19 employees.

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.