Find the number of ways in which 6 teachers can be assigned to 4 sections of a math course if no teacher is assigned to more than one section.

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: How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can…

A: From the given data, the digits that are used for the formation of numbers are : 0,1,2,3,4,5 & 6

Q: Suppose Ed is going to build a playlist that contains 11 songs. In how many ways can Ed arrange the…

A:

Q: Find the number of ways in which 2 boys and 6 girls can be seated in a row if the two boys must not…

A: As per our policy we can solve only 1 question per post. Kindly repost for remaining questions.

Q: Find the number of diffcrent ways that 6 boys and 4 girls can stand in a line if () all 6 boys stand…

A: Number of boys= 6 Number of girls= 4

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

A:

Q: James owns 8 different mathematics books and 6 different computer science books and wish to fill 5…

A: Here , Order is not important . Hence use combination to find arrangement of books in a shelf .  n =…

Q: There are 2 copies each of 4 different books. In how many ways can they be arranged on a shelf?

A:

Q: There are 20 seats in the front row of a theater. Each successive row contains two more seats than…

A: The number of seats in the first row =20 Since each successive row contains two more seats than the…

Q: a family wants to adopt 2 cats and 3 dogs from a shelter that has 12 cats and 15 dogs. in how many…

A: The number of ways of selecting 2 cats from 12 cats is,

Q: Each marble bag sold by debras marble company contains 3 orange marbles for every 2 blue marbles. If…

A: Given : Bag contains  3 orange marbles for every 2 blue marbles

Q: Suppose Allan is going to build a playlist that contains 9 songs. In how many ways can Allan arrange…

A: We have to find number of ways to 9 songs...

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: A young boy asked his mother to get 6 game cartridges from his selection of 11 arcade and 7 sport…

A: Given: Number of arcade =11 Number of sports game =7

Q: A fast food restaurant advertises that it offers any combination of 8 condiments on a hamburger,…

A: The number is obtained as follows: The number of choosing none of the condiments on a hamburger:…

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Determine the number of different committees formed with three females and 2 males.   The number of…

Q: A student club consists of 10 freshmen and 8 sophomores. How many different four-person committees…

A: A student club consists of 10 freshmen and 8 sophomores.

Q: There are ducks and pigs in a farm. Together, there are 35 heads and 100 legs. Assuming that each…

A: Simplification

Q: Find the number of different ways in which 3 flags can be displayed on a flagpole, one above the…

A:

Q: each marble bag sold by eric's marble company contains 8 orange marbles for every 5 purple marbles.…

A: Find the number of marble bags if a bag has 72 orange marbles.

Q: Four married couples have bought 8 seats in the same row for a concert. In how many different ways…

A: The number of ways to arrange r objects selected from n distinct objects is given by permutation.…

Q: Suppose there are 5 questions in an exam paper, find the number of ways in which a student can…

A:

Q: The mathematics department at WCC has 19 full-time faculty members; 10 female faculty members and 9…

A: Given that Full time faculty member=19 10 female faculty members and 9 male faculty member

Q: There are 9 female board members and 21 male board members. How many ways are there to make a…

A: We use combination to find number of way to make a committee.

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

A:

Q: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

A: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

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: How many ways can the 9 drummers of a marching band be split into 2 rows of 6 and 3 if order within…

A: Given, There are 9 drummers We have to split into 2 rows of 6 and 3 So,

Q: In a science classroom, where labs are performed, students are seated at lab tables. If the teacher…

A:

Q: From 6 female employees and 5 male employees, how many groups of 5 employees can be organized…

A: There are 6 female employees and 5 male employees.

Q: Each marble bag sold by Raina's Marble Company contains orange marbles for every 4 blue marbles. If…

A: The given data is: Marble Company contains orange marbles for every 4 blue marbles If a bag has 18…

Q: Find the number of ways in which 5 economics books, 3 history books, and 2 mathematics books can be…

A: See the detailed solution below.

Q: Each marble bag sold by Debra's Marble Company contains 5 red marbles for every 6 yellow marbles. If…

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: A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how many ways…

A: Given: There are 33 Democratic senators and 67 Republican senators. Find the number of ways in which…

Q: From the group of 5 freshmen, 6 sophomores and 8 seniors, how many committees can be formed if each…

A:

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

A:

Q: Assume that five men and five women are to sit in a row of ten chairs how many ways can these people…

A: Five men and five women are sitting in a row of ten chairs.

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: From a garden with 6 flower varieties, a bouquet of 3 differer types of flowers is to be picked. How…

A: using permutation and combination in these type of problems.

Q: Suppose Allan is going to build a playlist that contains 7 songs. In how many ways can Allan arrange…

A:

Q: There are some raisin and chocolate muffins in a pastry shop. If 84 raisin muffins are sold, - of…

A: let there be x raisin muffins and y chocolate muffins total number of muffins will be x+y according…

Q: Suppose Jim is going to build a playlist that contains 9 songs. In how many ways can Jim arrange the…

A: Suppose Jim is going to build a playlist that contains 9 songs.In how many ways can Jim arrange the…

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: 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: How many committees of six can be formed from 18 Republicans and 20 Democrats if three members of…

A: Provided information: Number of Republicans members = 18 Number of Democrats members = 20

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

A:

Q: Suppose there are 8 male professors and 5 female professors teaching a Math class. How many ways can…

A: Sum rule principle:   Let E1 denote the first event that an occur in m ways and then E2 denote the…

Q: How many different ways can a visiting nurse visit 10 patients if she wants to visit them all in one…

A: A visiting nurse can visit 10 patients in 10! ways in one day.