Students are building their schedules at a small university. There are 12 departments offering classes from which students build their schedules (and assume enough seats that everyone can get into whichever class they want). In how many ways could a student build a schedule of five courses each from a different department?

Q: How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25…

A: The number of ways r items can be selected out of n different items is equal to C(n, r) . The…

Q: If there are 4 math courses, 3 psychology courses, and 5 English courses offered in non-overlapping…

A: No.of math courses = 4 No.of psychology courses = 3 No.of English courses = 5 Consider that select…

Q: Suppose you are taking a bus trip from your home in Florida to California. There are seven different…

A: Given that we are taking a bus trip from your home in Florida to California. There are seven…

Q: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and adrink.…

A: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and adrink.…

Q: Suppose there are 6 roads connecting town B to town C and 4 roads connecting town C to town D. In…

A: According to the given information in this question  Here are 6 roads connecting town B to C  And 4…

Q: A committee of 6 people, with two of the six to be designated chair and vice-chair, is to be…

A: Given : Total number of people = 20 Number of committee member = 6

Q: A group has 10 men and 7 women. If 6 people are selected for a committee so that the majority of the…

A: Total number of people are 10+7=17 For the committee to be made with majority women, number of…

Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players .…

A: Given Total players = 20 We need to select 9 out of 20.

Q: In volleyball, players on the same team rotate through all positions so no particular player is…

A: The total number of players are 12. The team formed should be of 6 players. Therefore, 6 players can…

Q: Student Painters, which specializes in painting the exterior of residential buildings, has nine…

A: The number of ways r items can be selected from n different items is equal to C(n,r) . The formula…

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: There are 26 letters and 10 digits. The license plate of the car in the accident contains three…

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given, Male: Paolo, Rico, Jared, Arnold, Edward. Female: Janna,Victoria,Hazel,Julia,Alice,Lyka. So…

Q: 15. How many different arrangements of ten cars in order are possible in a parking lot that is made…

A: Answer:

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: To find out the possible CD-R's

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20 and…

A: 1 to 20 there are 20 numbers. Given that no number may be used twice. Means the combination will not…

Q: For a group of 9 representatives, how many committees of size 3 are possible without any…

A:

Q: A family has nine children. If this family has exactly five boys​, how many different birth and…

A: Given,A family has 9 childrens

Q: A committee of size 6 is being formed from a group of 10 Republicans, 8 Democrats and 4…

A:

Q: A club with eighteen members is to choose three officers: president, vice-president, and…

A: topic - permutations and combinations

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

A:

Q: Consider three different classes at a small college; a mathematics class with 32 students, an…

A: Given that n(A)= 32,n(A) =30,n(f) =26, n(MF) =13,n(AM)=11,n(AF) =16,n(AMF) =6.

Q: A teacher requires a student to answer 5 out of 10 questions, without regard to order. How many ways…

A: Number of ways to choose r items out of n items is given by formulae: nCr Here C represents…

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

Q: A committee of 5 is to be chosen from a group of 10 people. How many ways can it be chosen, if Bill…

A: Below the solution

Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: A traveling agent has to visit four cities, each of them five times. In how many different ways can…

A: There are 205! 5! 5! 5!ways to visit 4 cities, each of them 5 times.

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given : Total no of people= 11 Paolo and Hazel sit next to each other.

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) With no…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: The cafeteria is serving french toast, cereal, and fruit. If a student may choose any two of those…

A:

Q: A restaurant has on its menu four fish dishes, two potato dishes, and two green vegetables. In how…

A: Giventhe total number of fish dishes = 4the total number of potato dishes = 2the total number of…

Q: How many ways can A, B, C, and D be arranged to the __ __ __ __ if D is restricted to the third and…

A: Let A,B,C and D be the four letters that we have to arrange. Given: D is restricted to the third and…

Q: an automobile that was tested for production defects, but assume that the number of production…

A:

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

Q: If there are 4 roads from Town A to Town B and 6 roads from Town B to Town C, in how many ways can…

A: Solution:  It is given that there are 4 roads from town A to town B and 6 roads from town B to town…

Q: A company needs to create three new departments and there are seven managers competing to run these…

A: Determine the number of ways in which can three new leaders be appointed. The number of ways in…

Q: A student planning her curriculum for the upcoming year must select one of three business courses,…

A:

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

A: Given ,A student needs 8 more classes to graduate.

Q: A student works in a bookstore where he is required to work at least four and at most five days a…

A: Given- A student works in a bookstore where he is required to work at least four and at most five…

Q: As a member of a dance troupe, Anita has a costume wardrobe that consists of 2 pairs of tights (1…

A: Given: Anita has a costume wardrobe that consists of 2 pairs of tights (1 white and 1 black), 3…

Q: How many ways are there to distribute 18 chocolate doughnuts, 12 cinnamon doughnuts, and 14 powdered…

A: Let a,b,c,d denote the four principals. Since each principal gets at least two doughnuts of each…

Q: In an examination for final year students of a school, 60 offered Mathematics, 50 offered Economics…

A: Venn Diagram: Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic representation…

Q: In how many ways can Mrs. Smith give a chocolate bar, a bag of potato chips, and a can of cane juice…

A: Mrs. Smith give a chocolate bar , a bag of potato chips and can of cane juice to 3 of the 21…

Q: From a group of 10 boys and 6 girls a committee of 3 boys and 2 girls is to be selected. In how many…

A:

Q: If there were to be 15 boys and 13 girls at a party and the host wanted each to be given exactly…

A:

Q: A police department in a small city consists of 10 officers. If the department policy is to have 5…

A: From the provided information, Total officers = 10 5 of the officers patrolling the streets, 2 of…

Q: 3. A contractor wishes to build 9 houses, each different in design. In how many ways can he place…

A: From the given information, Total number of hoses to be build (n) =9 One side has 6 lots and other…

Q: Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can…

A: To count the number of possible selections

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

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.