Examplel7. How many different ways can be the letters of the word VOWEL be arranged? (i) How many of these arrangements begin with w? (ii) How many of these arrangements, in which the letters O, E occupy even places? (iii) How many of these arrangements which begin with V and end with L.? (iv) In how many arrangements A and E are together?

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: 5. What is the order of each of the following permutations? a. (124)(357) b. (124)(3567) d.…

A:

Q: In how many ways can you select two books to read from a shelf of ten books? (Order is important.)

A: Given thatr = 2 n = 10

Q: In how many ways can the letters of the word “rhubarb” be arranged so that all of the vowels are…

A: Given that, The letters of the word “rhubarb” should be arranged such that all vowels are together.

Q: (5) Find {2, 4, 6} • {1,3, 5} * {2,4, 6}. The following answers are proposed. (a) {5, 7,9, 11, 13,…

A: Given, {2, 4, 6} * {1, 3, 5} * {2, 4, 6}

Q: (d) Given the word PERMISSION, in how many ways can all the letters be arranged if (i) Number of…

A: Solution

Q: There are N employees at a new company, and they are forming a union. How many ways are there to…

A:

Q: Suppose we want to choose 5 letters, without replacement, from 17 distinct letters. (a) How many…

A: Solution:In this problem we want to choose  letters, without replacement, from  distinct letters.(a)…

Q: A artist donates 4 different paintings anf 5 different vases in a museume The donations will be…

A: The solution to the question is attached in the images below.

Q: In how many ways can the letters of the word 'RETAIL' be arranged in such a way that the vowels…

A: The objective is to find out in how many possible ways can the letters of the word 'RETAIL' be…

Q: I need help on part B

A:

Q: different proble In a Communication class of 10 students, a professor plans to pick 2 students to…

A:

Q: How many Combinations 3-letter Possible from letters A, E, I, O, and 4?

A: Here the given letters are ,      A,E,I,O,U  So, total number of letters , n=5 Using formula ,…

Q: In how many ways can a group of 3 boys and 2 girls be made out of a total of 6 boys and 5 girls? (a)…

A: Solution: BOYS: Possible combinations of 3 boys from 6 boys ; =C36 =6!3!x6!-3!=6!3!3!…

Q: In how many ways can you arrange the letters of the word "MATHEMATICS" such that the vowels (A, E,…

A: The word "MATHEMATICS" has 11 letters in total: M, A, T, H, E, M, A, T, I, C, and S.Among them, the…

Q: (a) How many 2 letter codes can be formed using A, B, C, and D if each letter can be used any number…

A:

Q: How many different ways can the letters of "jogging" be arranged? The number of different ways that…

A: The word “jogging” contains a total of 7 letters in which “g” letter is repeated 3 times.

Q: You want to arrange the letters of the word ”MISSISSIPPI” such that all the ’I’s come together. How…

A: MISSISSIPPI

Q: In how many ways can a group of 5 men and 2 women be made out of a total of 3 women and 7 men? O a.…

A: Combinations: The combination is a method of selecting all or part of a set of objects where the…

Q: In how many ways can you select three books to read from a shelf of eight books? (Order is…

A: We have find order matter..

Q: How many ways are there of arranging the 26 letters of the alphabet so that none of the words be,…

A:

Q: a) How many arrangements (b) How many arrangements are there of the letters of KNICKKNACKS? are…

A:

Q: 3. How many possible ways to assign a room for each of the 5 students, suppose we have 8 rooms…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: ❎❎♦️♦️♦️✅✅❎♦️

A:

Q: The 68 students in a classical music lecture class were polled, with the results that 36 like…

A: