How many different words consisting of 13 letters can be written such that exactly 4 of the letters are A's, 4 of the letters are B's, 5 of the letters are C's and there are no consecutive A's? Write your answer: the number of ways this can be done is...

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A: We have given that the team is formed of 25 members and the prizes be awarded.    Permutation…

Q: An eyewitness to a crime said that the license plate of the getaway car began with the letters U,…

A:

Q: An undergraduate math course gives all the usual letter grades of A, B, C, D, or F. The department…

A: An undergraduate math course gives all the usual letter grades of A, B, C, D or F.

Q: How many books must you choose from among a collection of 7 mathematics books. 18 books of short…

A: Given information  No of mathematics book = 7 No of short stories books = 18 No of chemistry books =…

Q: In how many ways can 4 out of 6 films be shown one after the other

A:

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: How many ways are there to seat six boys and eight girls in a row of chairs so that no two boys are…

A:

Q: In how many ways can you arrange the letters of the word "ADVENTURE" so that D doesn't occur before…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: In how many ways can you arrange the letters of the word "ADVENTURE" so that D doesn't occur before…

A: Permutation is a technique to obtain the possible arrangements of listed items in linear order. It…

Q: . In how many ways can you arrange all the letters of the word TORONTO  a) that begin with a T? b)…

A:

Q: How many ways can the letters be arranged? If each letter is distinct (that is, each letter E is…

A: Consider the letters of the word ELEEMOSYNARY Total 12 letters E occurs 3 times Y occurs 2 times…

Q: In how many ways can six different books, four of which are math books, be arranged on a shelf if…

A:

Q: In how many ways a 4 - person sales team can be formed from a group of 12 salesmen and 8 seals women…

A: Solution: From the given information, there are 12 salesman and 8 sales women. Total number of…

Q: In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit…

A: Given,no.of boys=3no.of girls=3total no.of peoples=6

Q: 5. a) How many ways can 6 people be lined up to get on a bus? b) If a certain 3 persons insist on…

A:

Q: In how many ways can a group of five girls and five boys be lined up so that: (a) all the girls…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: 3. How many words which start with an A can be written with 9 A's and 13 B's such that there are…

A: The objective is to find there are how many words that start with A and can be written with 9A's and…

Q: (g) A company has two employees with 12 offices. How many ways are there to assign different offices…

A:

Q: (ii) exactly ten buses arrive from 5.00 pm to 6.30 pm, and three buses arrive from 6.30 pm to 7 pm?

A: please do (ii) only .   In one hour time, average number of buses leaving station A = 12  then , In…

Q: n how many ways can a committee of 5 be formed from a group of 11 people consisting of 4 teachers…

A: Total members available  = 11 The committee consists of 5 members   Here there are 3 cases possible:…

Q: In how many ways can a person order one ice cream cone with 3 different flavors of ice cream if…

A:

Q: 10. Suppose there are 10 women and 8 men who teach at a private school. Please simplify your answers…

A: a) There are two cases for the given situation. Case 1.  2 teachers are women and 1 is man. Case 2.…

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

A:

Q: In how many ways can they line up so that no two geese are standing next to one another? (There is…

A: There are 10 ducks and 6 geese.

Q: 1. If there are 12 books on the shelf, in how many ways can you arrange them, based only on colour,…

A:

Q: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

Q: A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii)…

A: i) deliver to all means arranging 10 customers in  all ways possible Total number of ways = 10! =…

Q: In how many ways can a committee of two men and three women be formed from a group of eight men and…

A:

Q: In how many ways can nature select 4 students out of a class of 15 students to get the flu? In how…

A:

Q: 3- Practiôns 7 At a pet store, 10 of the puppies are black and of the puppies are 10 white. If you…

A:

Q: 2)A class contains 18 girls and 14 boys. For all parts of this question, each boy and girl are…

A: Respected student, By policy of Bartleby we are solving your first 3 parts, Please repost other…

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: 3. How many different ways are there to choose 6 items from 10 distinct items if... a. .the order of…

A:

Q: in how many different ways could Dopey not be between Grumpy or Sleepy

A: Grumpy is second from the right and Sleepy is third from the left. Total positions where Dopey can…

Q: Professor Bartlett teaches a class of10 students. She has a visually challenged​ student, Louise,…

A:

Q: A jar is to be filled with 100 jelly beans. There are five varieties of beans to choose from and we…

A: As per given by the question,  The total number of jelly beans that is filled in the jar is 100.…

Q: How many ways can 6 people be seated in a round table if a. persons A and B must sit next to each…

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

Q: A student taking an examination is required to answer exactly 10 out of 15 questions. in how many…

A:

Q: A new vaccine is being tested on a group of 4000 people by giving 2500 people the vaccine and the…

A: there are total of 4000 people. Out of which 2500 are to be given a vaccine. (a) out of 4000 people…

Q: (b) A class of 18 students is divided into 3 groups of four students and 2 groups of three students.…

A: As per given by the question, A class of 18 student is divided into three groups of four student and…

Q: c) There are three train tracks from village X to village Y and four train tracks from village Y to…

A:

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

A: A question is given with 3 parts. The solution is given below.

Q: How to work this? When the members of a family discussed where their annual reunion should take…

A: Let us define the events as, P = Members of family to go park B = Members of family to go beach F =…

Q: A bagel shop has a selection of 8 different kinds of bagels (at least 10 of cach). ( .1) How many…

A: Given, A bagel shop has a selection of 8 different kinds of bagels. At least 10 of each.

Q: There are 7 different roads between town A and town B, 4 different roads between town B and town C,…

A: There are 7 different roads between A and C, 4 different roads between B and C and 2 different roads…

Q: -Each student at State University has a student ID number consisting of five digits (the first digit…

A:

Q: 2.) 100 students were interviewed. 28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took…

A:

Q: . a) How many ways can 6 people be lined up to get on a bus? o) If a certain 3 persons insist on…

A:

Q: A company sells regular hamburgers as well as a larger burger. Either type can include cheese,…

A:

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.