10 students should be accomodated in two 3-bed and two 2-bed rooms. In how many ways can they be accomodated?

Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a…

A: We use permutations and combinations. Number of ways to arrange n objects in n places is n! Number…

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings? Your answer is :

A: Consider the formula for the n objects taken r at a time is, Cn,r=n!r!n-r! Then, the number of ways…

Q: 2. In how many ways can 9 persons be seated in a round table with 9 chairs? 3. In how many ways can…

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

Q: In how many ways can 3 red cards be drawn from a standard deck of 52 cards

A: The total number of cards in a deck of cards is 52.

Q: In how many ways can 4 pizza toppings be chosen from 12 available toppings? Your answer is:

A:

Q: How many ways can 5 bicycles be parked if there are 9 available parking spaces?

A: Number of ways in which 5 bicycles can be parked if there are 9 available parking spaces.

Q: How many ways can a course and schools are chosen? ​

A: Courses={Science, Math}  =2 Schools={UP DLSU,ADMU}=2

Q: In how many ways can 5 letters be posted in 4 post - boxes?

A: We have 5 letters with us and 4 post-boxes.  Now, any letter can be put in any post-box.

Q: In how many ways can 7 graduate students be assigned to 1 triple and 2 double hotel rooms during a…

A: We can interpret this question as how to split seven students into groups of 3, 2 and 2.

Q: 2. How many ways can a postman post 3 letters in 5 letter boxes?

A:

Q: 4. A chef can prepare 20 different dinners. In how many ways can he select 6 of them for today's…

A: 4. Answer: In 38760 ways can he select 6 of them for today's menu out of 20.

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

A:

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given,  License plate consist of 4 letters followed by 5 digits. Since repetition of the letters and…

Q: In how many ways can 5 people be seated on a sofa, if there are only 3 seats available? * In how…

A:

Q: In how many ways can 9 individuals be seated in a row of 9 chairs if two individuals wanted to be…

A: Permutation is the method that used to measure the number of arrangement in the data set. In this…

Q: From a list of 40 teachers, 5 are to be promoted to subject area coordinator. In how many ways can…

A: Given: n=40 and r=5.

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

A:

Q: A photographer is asked to submit 7 photos from a collection of 14. How many ways can the photos be…

A:

Q: In how many different ways can 12 people occupy the 12 seats in a front row of a mini theater ?

A: Given: The number of seats available is 12.  The number of people to be arranged in seats is 12.

Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a…

A:

Q: In how many ways can five people boarding a bus be seated if the bus has seven vacant seats?

A:

Q: Ten national leaders are to be seated at a round table at a summit. If the presidents of the US and…

A: 10 national leaders are to be seated at a round table at a summit. If the presidents of the US and…

Q: how many different ways can a coach choose three players from 8 bench players to replace 3 of the 5…

A: He can select 3 of the 5 starting players in 5C3=10 ways. He can select 3 of the 8 bench players in…

Q: 1. How many different license plates are possible using 3 letters followed by 3 digits? digits and…

A:

Q: In how many ways can 9 books be arranged on a shelf if 5 particular books must always stand…

A:

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: 19.In how many ways can 4 girls and 3 boys be arranged around a camp fire if the 4 girls must be…

A:

Q: 9) From a group of 30 people, a jury of 12 people is selected. In how many different ways can a jury…

A: We use combination formula here to find number of ways to select 12 people out of 30 peoples

Q: 2. If you have 7 types of candy, how many pieces of candy would you have to guarantee that you had…

A:

Q: There are 10 students in a class. In how many ways can an instructor give at least one student a…

A: There are 10 students So sample size, n= 10 And we've to find ways for at least 1 student. So r= 1

Q: In a birthday party, 2/3 of the children were 8 years old, 2/3 of the remaining are 9 years old, and…

A:

Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

Q: In how many ways can 3 pizza toppings be choosen from 12 available toppings? Your answer is: -…

A: Given,            3 pizza toppings can be choosen from 12 availabe toppings.

Q: In how many ways can 8 different pizza toppings be chosen from 14 available toppings? There are ways…

A:

Q: 4. The Recycling Club collected 196 cans on Monday, 248 on Tuesday, 205 on Wednesday and , 256 on…

A:

Q: A shipment of 520 calculators, 16 are found to be defective. How many defective calculators are…

A:

Q: 2. In how many ways can 3 men and 4 women be seated on a bench if the women must be seated together?

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

Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 8 different…

A:

Q: A state makes a license plate with 3 letters followed by 5 numbers. If repetitions are permitted,…

A: To find the different ways in which license plates can be made

Q: How many ways can five boys and five girls be seated alternately at a circular table?

A: Given: 5 boys and 5 girls are to be arranged in circular way alternately. The diagram can be…

Q: 3. License plates are made using 2 letters followed by 3 digits. How many plates can be made, if a)…

A: Given that  License plates are made using 2 letters followed by 3 digits. The license plate contains…

Q: A cargo ship unloaded a shipment of 12 photocopy machines that contains 3 defective units. In how…

A:

Q: A girl is allowed to pick 5 out of 18 children’s books to take home from the library. In how many…

A: Solution: 1. From the given information, a group of 5 books are to be chosen from 18 children’s…

Q: law enforcement officers if each committee consists of 6 law enforcement o

A: Given: n = 9 r= 6

Q: In how many ways can a couple invite 3 out of their 15 closest friends to a dinner party?

A:

Q: In how many different ways can 4 passengers be seated in an airplane if each passenger can select…

A:

Q: Ten people wish to play in a basketball game. In how many different ways can two teams of five…

A: To find: How many different ways can two teams of five players each be formed among ten people

Q: In how many ways can a chairperson and a vice chairperson be selected from a committee of 15 people?

A: For the following question

Q: rom the 7 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 4…

A: It is given, Number of male representatives is 7, Number of female representatives is 6, A team of 8…