7) In how many ways the letters of the word "BANKER" can be arranged that vowels are always 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: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: In how many ways can 6 girls and 3 boys sit on a row of 9 chairs in such a way that no two boys sit…

A: we have to solve given problems:

Q: Suppose we want to choose 5 letters, without replacement, from 14  distinct letters. (a) If the…

A: To find : If the order of the choices matters, how many ways can this be done?

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: In how many ways can one put 8 adults and 4 children in a row, such that no two children are next to…

A: We have given that there are 8 adults and 4 children in a row. Here our claim to to show in how many…

Q: How many different 4-letter radio-station call letters can be made   if the first letter cannot be…

A: Given: 4- letter radio-station call letter has to be made with first letter should not be A, B or C…

Q: In how many different ways can you arrange the letters of the word NONSENSE if the first letter and…

A:

Q: How many ways can 7 students standing in a line be arranged John must be first in line and Chloe be…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: Suppose there is a list of six jokes about marriage and divorce. In how many ways can people select…

A: The objective of this question is to find out the number of ways people can select their two…

Q: In how many ways can a team of 11 players be chosen from 14 players if the captain and his assistant…

A: This is problem of counting and we will solve this using combination.

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: in how many ways can 5 starting positions on a basketball team be filled with 12 men who can play…

A:

Q: In how many ways can 3 mathematics books, 5 science books, and 2 language books be arranged in a…

A:

Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A: Let us assume there are three persons A, B and C sitting beside each other. The different ways in…

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

A:

Q: how many ways can 5 textbooks, 3 coffee table books and 2 novels be arranged if the textbooks must…

A: This question is from permutation We have to calculate, in how many ways 5 textbooks, 3 coffee table…

Q: Example 26. In how many ways can 7 gentlemen and 7 ladies be seated at a round table so that no 2…

A:

Q: True or False

A: Given that a menu has 4 appetizers, 3 soups, 8 main courses, 5 salad dressings and six desserts . A…

Q: How many ways that two girls and 4 boys can fall in a line of there must be a girl and a boy in the…

A: Introduction: There are 2 girls, and 4 boys.

Q: How many 15 letter strings containing only a's, b's, and c's have 6 a's and 4 b's?

A: Given: 15 letter strings containing only a's, b's and c's

Q: In how many ways can we seat 6 boys and 3 girls on a row of seats so that no two girls sit next to…

A: If no two girls can sit together, then we need to alternate boy and girl. We can start with a boy…

Q: (A) toys of the same type should not be grouped together; (B) teddy bears should alternate with…

A:

Q: In how many ways can four English books, three statistics books, three chemistry books and two…

A: Number of English books = 4 Number of statistics book = 3 Number of chemistry book = 3 Number of…

Q: Suppose there is a list of fourteen jokes about marriage and divorce. In how many ways can people…

A:

Q: ) Ted, Robyn, Barney, Marshall, Lily, Stella, Victoria, Tracy, Karen, and Holli line up for a…

A: Please refer to the image below

Q: In how many ways can 4 CS students and 5 IT students sit in a row if the CS and IT students must…

A:

Q: What is the number of ways in which 30 students, consisting of 10 freshmen, 12 sophomores, and 8…

A: There are 30 students, consisting of 10 freshmen, 12 sophomores, and 8 juniors. Here use total…

Q: How many arrangements can you make in a three letter word using the letters from the word "PINGUIN…

A: To find the number of three letters arrangement make from PINGUIN .

Q: How many ways can a baseball line up of 9 players be arrange to hit if the pitcher must bat last,…

A: We have 4 contact hitters and 2 power hitters and 1 pitcher and 2 other players. Who must be…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given,no.of dogs=3no.of cats=4no.of rabbits=4no.of pigs=2