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: Orders for the Valentine’s Day bouquets. Each student could choose any combination of red, pink,…

A: Given,no.of different combinations=4  (red , pink , white , yellow)

Q: How many different ways can you pick four objects out of eight objects and arrange them in order?

A:

Q: How many ways can you arrange 6 of 11 different books on a shelf?

A:

Q: There are 13 different bags of candy for a party. Susan randomly selects 7 bags. How many different…

A: There are 13 different bags of candy for a party. Susan randomly selects 7 bags. How many different…

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: 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 numbers are in the following list? There are numbers in the list. 9.25, 11.25, 13.25, ...,…

A:

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

A:

Q: mary ann,hazel,and analyn want to know what numbers can be assigned for the frequency of of heads…

A: The sample space of a fair coin flip is {H, T}. The sample space of a sequence of three fair coin…

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

A:

Q: Customer account numbers for a certain company consists of 3 letters followed by 5 numbers How many…

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: Determine the number of arrangements of all the letters in the word SUCCESS.

A: We have to determine the number of arrangements of all the letters in the word SUCCESS. Here, total…

Q: A review sheet for a history test has 10 essay questions. Suppose that the professor picks 3…

A: Given

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

A:

Q: Solve the following problems You have seven books and are going to put three on a bookshelf.…

A: 1 ) Let , you have given 7 book

Q: there are two different types of flowers in a garden. There are 4 rows that have 12 mums in each…

A: There are two different types of flowers in a garden. There are 4 rowsthat have 12 mums in each row.…

Q: How many ways can you rearrange the letters in the word MATH?

A: The objective of this question is to find out the number of ways the letters in the word 'MATH' can…

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.