a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

Q: In how many ways can the letters of the word HORRAR be arranged if vowels are together?

A: Given information- We have given the letters of the word- HORRAR We have to find a number of ways to…

Q: B. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that…

A:

Q: Suppose we want to choose 6 letters, without replacement, from 8 distinct letters. (a) How many…

A: Number of choosen letters (r) = 6 Total number of letters (n) = 8  Consider a situation where r…

Q: How many ways are there to arrange 12 identical apples and five different oranges in a row so that…

A: Here, arrange 12 identical apples and five different oranges in a row so that no two oranges will…

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: In how many distinct ways can the letters of the word BELLE be arranged? ways

A:

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

A: Solution

Q: Suppose we want to choose 4 letters, without replacement, from 18 distinct letters. (If necessary,…

A: Given,Total no.of letters=18

Q: 3. (8 points) a. How many arrangements in a row of two or three letters can be formed using the…

A: The objective of the first part of the question is to find the number of arrangements of two or…

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: 7) In how many ways the letters of the word "BANKER" can be arranged that vowels are always…

A: The letters of the word BANKER can be arranged.

Q: A large number of three letter words in English follow the pattern consonant- vowel -consonant in…

A: 2 consonants out of 17 can be selected in P(17,2)=272 ways.

Q: In how many ways can you arrange 5 distinct maths books, 4 distinct computing books and 3 distinct…

A: Given  5 distinct maths book, 4 distinct computing books and 3 distinct physics book

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: In how many ways can the letters of the word MANAGEMENT be rearranged so that the two 'A’s do not…

A:

Q: Suppose we want to choose 7 objects, without replacement, from 9 distinct objects. (a) How many ways…

A:

Q: In how many ways can 7 science books, 3 history books, and 6 mathematics books be arranged on a…

A:

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

A: (d) (ii) It is been asked to find the number of possible arrangement of all letters in word…

Q: O If the order of the choices matters, how many ways can this be done? If the order of the choices…

A: It is given that Number of letters n = 13 Number of letters t9 be chosen r = 6

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: ifferent ways can the letters

A: To find :  To find different ways can the letters of the word 'JUDGE' be arranged such that the…

Q: In how many ways can 7 children and 6 mother be arranged in a row so that:  No two children are sit…

A:

Q: In how many ways can you arrange 6 distinct maths books and 5 distinct physics books on a shelf, if…

A:

Q: How many ways can all the etters in the word EDUCATION can be arranged if all the vowels are right…

A: The word education has 9 letters in which 'AEIOU69f4fc43-162e-4e8b-82a6-efea9c821b47' are vowels.…

Q: how many different ways can the letters of the word JOYRIDE be arranged such that all letters are…

A:

Q: A class has 30 students. In how many different ways can four students form a group for an activity (…

A: Determine the number of ways in which four student’s forma group for an activity. The number of ways…

Q: How many ways can the letters in MATHROCKS be arranged if it must begin with a vowel and end with a…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: a. How many ways can the letters of the word BECOMING be arranged in a row? b. How many ways can the…

A:

Q: How many different three-letter arrangements can be formed using the letters A, B, C, and D if…

A: The given problem is a question about permutations, a fundamental concept in combinatorics, a branch…

Q: HURONTARIO be arranged

A: Total number of letters=10 Repeated letters:R=repeated twice, i.e, 2O=repeated twice, i.e, 2

Q: In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 10…

A: Given that the picture has to be taken for 6 people out of 10 where exactly one of the bride or the…

Q: How many different 10-letter words (real or imaginary) can be formed from the following letters? Q,…

A: Given that  Number of letters = 10 Letters  =  Q , L , Q , U , A , L , L , A, R , W Number of times…