How many ways can nine different books be arranged on a shelf? This type of problem is simply the number of items factorial. There are _____ ways to arrange the books.

Q: FACTORIAL The number of different ways to arrange n objects is given by n!= nx (n-1)x(n-2)x...x3x2x1…

A: Given: The number of different ways to arrange n objects is given by  n! = n×n-1×n-2×...×3×2×1

Q: Farmer Brown owns five horses and six mules. He takes them into the barn where there are five stalls…

A: Given that, Farmer Brown owns five horses and six mules. He takes them into the barn where there are…

Q: permutation problem: A company that makes crayons is trying to decide which 3 colors to include in a…

A: The complexity of using factorials to calculate the permutation led to the error you experienced.…

Q: How many ways can nine different books be arranged on a shelf? There are _____ ways to arrange the…

A: To find How many ways can nine different books be arranged on a shelf?

Q: At a soccer tournament 12 teams are wearing red shirts, 6 teams are wearing blue shirts, 4 teams are…

A: No. of teams wearing red shirts = 12      no. of teams wearing blue shirts = 6 no. of teams…

Q: You are making a sandwich for lunch and you have lettuce, tomato, cheese, turkey and ham as possible…

A: There are 5 possible ingredients.

Q: How many ways are there to arrange the letters in the phrase REPEATED? If you have three shades of…

A: How many ways are there to arrange the letters in the phrase REPEATED? The word "REPEATED" has 8…

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf,  if the books B and

A:

Q: of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend…

A: Total number of books read this year, n = 20(a) To find the number of different sets of 6 books that…

Q: I notice I didn't put letter c. in this problem.  c. A number is divisible by 3 if, and only if,…

A: part c) given  c. A number is divisible by 3 if, and only if, the sum of its digits is a multiple of…

Q: From a deck of 52 playing cards, 5 cards are to be drawn. How many sets of 5 cards are possible if:…

A:

Q: Toward the end of a game of Scrabble, you hold the letters D, O, G, and Q.You can choose 3 of these…

A: The number of ways in which 3 letters can be chosen from 4: Number of ways in which 3 letters can…

Q: In how many ways can 7 people be seated in a row if only 4 chairs are available?

A: Here 4 chairs are available and 7 people can be seat.

Q: How many different ways can you arrange 10 students (4 students with blonde hair, 2 students with…

A: Total Number of students = 10 Number of students with blonde hair = 4 Number of students with black…

Q: How many ways can you rearrange the letters in the word "Humdinger"

A: Given word is "HUMDINGER"

Q: Bob owns 13 different books. He wants to pick out and arrange 5 of these books left-to-right on a…

A:

Q: the angle of rotation for the matrix transformation 2 2

A: Given the matrix of transformation is  f(xy)=32-121232xy To find the angle of rotation.

Q: how many ways to choose 4 out of 10 candidates for the distict jobs

A:

Q: A researcher manipulates the number of minutes subjects have to memorize a list of words (1 minute,…

A: The following questions are related to a research design where a researcher manipulated the amount…

Q: ✅❎♦️♦️♦️❎❎❎

A: We have to form 5 member committees from 100 U.S. senators.As we are forming committees, so the…

Q: Bob owns 9 different books. He wants to arrange all of these books left-to-right on a single…

A: From the provided information, Bob owns 9 different books. And he wants to arrange these books left…

Q: Bob owns 15 different books. He wants to pick out and arrange 4 of these books left-to-right on a…

A:

Q: If applicable to the problem below, please use combination notation, thanks. From a deck of 52…

A: As per guidelines expert have to answer first question three subparts only dear student please…

Q: The simplest factorial design is a ______ design.   a. 1 × 1   b. 2 × 2   c. 2 × 1   d. 1 × 2

A: Factorial Design :  It  is a type of research methodology that allows for the investigation of the…

Q: Bob owns 14 different books. He wants to pick out and arrange 8 of these books left to right on a…

A: From the provided information, Bob owns 14 different books. He wants to pick 8 books and arrange…

Q: How many different ways can the letters of ​"knitting​" be​ arranged?

A: We have given the word "knitting" Total number of letters = 8 Repeated letters- No. of n's = 2 No.…

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.