A university professor has 10 students. In how many ways can the professor assign the students to 3 projects that require 2,3,5 students. Your final answer must be a number.

Q: A time traveler can take 3 books with him , and he has 68 books to chose from . How many different…

A: Solution

Q: A high school student needs 9 more classes to graduate.  If she has met the prerequisites for all…

A: Given information Students need 9 more classes to graduate No of class periods to fill = 5

Q: To prepare for a safe grad, a committee of 6 people must be formed from a group of 5 teachers and 6…

A: To determine the number of ways the committee can be formed.

Q: How many ways can a 4 member committee be selected from a club with 15 members? If the club's 15…

A: Given that there are 15 members. In 15 members, 8 are men and 7 are women.

Q: You need to create a new passcode for your iPhone, their are 10 numbers to choose from and your…

A: Remark: We know the number of different permutations of n distinct objects taken r at a time is nPr…

Q: the state department of transportation decides to change the plates to have three letters followed…

A: Given query is to find how many plates are possible if three latters followed by two digits.

Q: From 4 boys and 8 girls, the number of ways can 6 be chosen, (i) to include only one boy. (ii) to…

A: 12 children, in which 4 boys and 8 girls and we want to chose 6 children

Q: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?

A: Note that here we have to select a group of 5 students from a 30 student classroom.

Q: When you start your new job, you will be assigned an Employee Identification Number. If this number…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: Solve each problem completely. 1. How many committees can be formed with 3 male and 4 female from 5…

A: The Permutation is the method that used to understand the number of possible arrangements with order…

Q: Ana , Maria , Pedro and Sonia will fill out 2 positions. How many ways can there be?

A: Ans#-  Ana , Maria , Pedro and Sonia will fill out 2 positions.            Find the number of ways…

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: A class of 20 students is divided into 5 teams of 4 students each. How many ways are there to divide…

A: Number of ways in which n students can be divided into k groups of h students is given by,

Q: You have 7 math books and 7 history books to put on a shelf with five slots. In how many ways can…

A:

Q: You can choose from seven science courses and five humanities courses. In how many ways can he…

A: Number of science course = 7 Number of Humanities course = 5 Total number of course = 7+5 = 12…

Q: Charles has eight different winter scarves, and he wears three at a time. How many different ways…

A: Given that       Charles has eight different winter scarves and he wears three at a time  We have to…

Q: Radio stations that are on the east side of a nation have call letters consisting of a W followed by…

A:

Q: A shelf can be packed from end to end with 30 large books or 45 small books. Kevin already packed…

A: Given data:- The shelf can fill with large books, =30 books The shelf can fill with small books, =45…

Q: please show me the solution and answer. A club consists of 10 men and 13 women. In how many ways…

A:

Q: The organizer of a conference is selecting workshops to include. She will select from 9 workshops…

A: Here we have to use concept of combinations.

Q: A time traveler can take 5 books with him, and he has 76 books to choose from. How many different…

A:

Q: a shelf holds 2 english books, 3 history books and 4 math books. In how many ways can you arrange…

A: Given : Number of English books = 2 Number of history books = 3 Number of Maths books = 4

Q: can be created?

A: Total Choices: 13 Appetizer 6 entree   We apply Combinations here, as we need to choose 1 appetizer…

Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

A:

Q: If I have 9 flower pots and 11 different flowers how many different ways can flowers be in each pot?

A: 11C9 ways. that is in 55 way.

Q: 10. Members of the Wide Waters Club pay $105 per summer season, plus $9.50 each time they rent a…

A:

Q: There are 5 boys and 5 girls at a party. In how many ways can they be seated in a row if they must…

A:

Q: There are 3 women and 8 men signed up to join a salsa dance class. In how many ways can the…

A: To solve the following problem

Q: A university student is selecting courses for his next semester. He can choose from 4 humanities…

A:

Q: A state has license plates that consist of 2 letters followed by 3 numbers and each letter and…

A:

Q: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. How many…

A: In a large family, 20 have parrots, 15 have rabbits, and 5 have both. One own a pet dog. We need to…

Q: A student must take 4 courses. In how many ways can they do that if there are 8 courses and 1 is…

A: Solution

Q: How many ways can Carlos choose 2 pizza toppings from a menu of 20 toppings if each topping can only…

A: The number of pizza toppings chosen is 2 and the total number of toppings is 20.

Q: An examination paper consists of 12 questions divided into parts A and B. Part A contains 7…

A: Given Information: Total number of questions = 12  Questions in Part A = 7  Questions in Part B = 5

Q: From a league of 20 players, we want to choose 11 players for a football match. A goalkeeper, a…

A:

Q: A university student is selecting courses for his next semester. He can choose from 5  science…

A: Given,no.of science courses=5no.of humanities courses=10Total no.of courses=15

Q: When you get to college you will be assigned a new Student Identification Number. If this number is…

A: Given, Student Identification Number has number is 9 digits long followed by 2 letters . We have to…

Q: How many committees can be formed from 12 men and 12 women if the committee must consist of 3 men…

A:

Q: From a league of 25 players, we want to choose 11 players for a football match. A goalkeeper, a…

A: We have to find correct answer..

Q: A student has to answer 8 questions, choosing at least 4 questions from each of parts A. If there…

A: Given,no.of questions in part A=6no.of questions in part B=7

Q: A time traveler can take 4 books with him, and he has 98 books to choose from. How many different…

A:

Q: A license plate used 2 digits followed by two letters. If the numbers 1 and 0 can not be used in the…

A: Consider the provided question, Since, the numbers 1 and 0 can not be used in the digits. So, the…

Q: In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak…

A:

Q: How many automobile license plates can be made if each plate contains two letter followed by 3…

A: Given: Number of digits in a license plate = 3 Number of letters in a license plate = 2

Q: Suppose Aaron is going to build a playlist that contains 14 songs. In how many ways can Aaron…

A: Given,total no.of songs=14

Q: The organizer of a conference is selecting workshops to include. She will select from 3 workshops…

A:

Q: A university student is selecting courses for his next semester. He can choose from 5 humanities…

A:

Q: How many ways can 3 men and 4 women be seated on a bench if the women to be together?

A:

Q: When you get to college you will be assigned a new Student Identification Number. If this ID is 5…

A: The number of ways to select r objects out of n is given by the formula nCr=n!r!(n-r)!. Therefore,…

Q: As a television executive, you have been given 8 shows to choose from to run during your prime time…

A: Total number of shows available = 8 Available time slot = 6