Suppose we want to choose 5 objects, without replacement, from 14 distinct objects. (If necessary, consult a list of formulas.) (a) If the order of the choices is not relevant, how many ways can this be done? (b) If the order of the choices is relevant, how many ways can this be done?

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

Q: You have 10 of each of the following type of objects: A, B, C, and D. The objects of each type are…

A: 1. There are total 40 different objects, 10 belonging to each of types A, B, C, and D- A1, A2, …,…

Q: Consider 2 classes, the first with 5 students, and the second with 7 students. From this group of…

A: Given data 2 classes First with 5 students and second with 7 students 2 students need to be selected

Q: An insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: we want to find different ways can the agent telephone the prospects

Q: 3. A group of 20 people consisting of 6 women and 14 men will give a tea invitation. For the…

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Q: How many ways are there to arrange 12 identical apples and five different oranges in a row so that…

A: Here, arrange 12 identical apples and five different oranges in a row so that no two oranges will…

Q: Suppose we want to choose 5 objects, without replacement, from 15 distinct objects.   How many ways…

A: topic -  permutation and combination

Q: At a certain company, passwords must be from 4-6 symbols long and composed from the 26 uppercase…

A: Let us consider there n number of objects, and r to be chosen such that repetition is allowed; then,…

Q: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are Math books, 3 are…

A: Given:- total books =10 maths books =4 Chemistry books =3 history books =2 song lyric book =1

Q: The average age of the members of a country club is 54 years old. If there are ten 36-year-olds,…

A: Let the age of 20 other members be x years. Now  Age of 10 members=36 Age of 50 members =60 Total…

Q: A committee of 4 students is to be made. There are 5 boys and 5 girls available for selection. In…

A:

Q: There are five distinct computer science books, three distinct mathe- matics books, and two distinct…

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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: If there is 1 person in a room and no one shakes his or her hand, and then someone else enters the…

A: Let n be the number of persons in the room.

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

Q: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are mathematics books,…

A: Given: Number of types of books=4 Number of mathematics books=4 Number of chemistry books=3 Number…

Q: An employee group requires 6 people be chosen for a committee from a group of 16 employees. The…

A: As per guideline expert have to answer first question only dear student please upload other question…

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

A: Topic:- permutation and combinations

Q: When we are considering n objects taken r at a time, with r . 1, why will the number of combinations…

A: "When we are considering n objects taken r at a time, with r . 1, why will the number of…

Q: Assume the sales representative calls 5 customers, and each call has 2 possible results: reaches the…

A:

Q: With a short time remaining in the day, a delivery driver has time to make deliveries at 5 locations…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: 2. How many different arrangements can be made by using all the letters of the word MATHEMATICS ? 3.…

A: Here use combination

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: 20 people have volunteered for a 5-person neighborhood advocacy committee. 13 of them are homeowners…

A:

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

A: Given that the picture has to be taken for 6 people out of 10 where exactly one of the bride or the…

Q: Suppose we want to choose 5 objects, without replacement, from 8 distinct objects. (a) If the order…

A:

Q: 1. A baseball team that has 15 players on its roster. Nine players will be selected for their…

A: Given that  Number of people on its roster (n) =  15 Number of left handers = 5 Number of right…

Q: In how many ways can an elf climb a staircase of 15 stairs if each step it takes can cover 1 or 2 or…

A: We will use the recurrence relation to find the number of ways in which an elf can climb 15 stairs.

Q: For traveling salesman problem applied to 5 cities (including the home city), how many tours are…

A:

Q: A committee of 5 consisting of 3 girls and 2 boys is to be chosen from a class with 15 girls and 10…

A: Given: Total Number of Girls=15Total Number of Boys=10Commitee required 5 candidate in whichNumber…

Q: Suppose that Ten service customers need service call and the maintenance worker can only service…

A: Based on the information, the dispatcher cares who serviced first, second and third. In this…

Q: suppose that ten service customers need service call and the maintenance worker can only service…

A: Consider the given information. Total Number of service customers = 10 Number of services done each…

Q: Suppose we want to choose 6 objects, without replacement, from 8 distinct objects. (If necessary,…

A: Given data: Number of distinct objects  (n) = 8 Number of objects to choose(x) = 6

Q: License plates in a particular state are to consist of 3 digits followed by 2 uppercase letters. How…

A: no.of digits=10  (0 to 10)no.of uppercase letters=26   (A to Z) 9 ways fill it (0 , 2, 3...10) 9…

Q: If there are 5 ways to perform task A and 6 ways to perform task​ B, then how many ways are there…

A: Given information No of ways to do task A = 5 No of ways to do task B = 6

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

A:

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

A: Given,no.of Republicans=10no.of Democrats=8no.of independents=4total no.of peoples=22

Q: A committe of 5 members is to be formed out of 6 gents and 4 ladies. In how many ways this can be…

A: Given: Total Gents = 6 Total Ladies = 4 Required 5 members committee for the at least two ladies

Q: Suppose we want to choose 2 object, without replacement, from the 4 objects pencil,eraser, desk ,…

A: If we want to select 2 object among 4 object without Replacement. Then the number of ways is

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

A:

Q: 1. A license plate begins with three letters and three numbers. If the possible letters are all…

A: Given: The possible letters are vowels; that is, a, e, i, o, u. The possible digits are odd numbers;…

Q: How many possible ways can a housewife take to buy a book from a bookstore, then buy groceries from…

A:

Q: Suppose there are 5 men and 8 women qualified to be members of a new committee of 6 people,…

A: a) Since each position is distinct, so for this problem order matters. There are total (5+8)=13…

Q: How many ways can 120 identical packages be loaded into 10 delivery trucks where some trucks may…

A: There are n identical packages that must be loaded into 10 trucks in such a way that there are no…

Q: Part 1,4, and 5, please

A:

Q: Your field experience instructor wants to line up 9 cars for transportation to a grade school.…

A: Permutation is used to arrange r numbers from n numbers. Combination is used to select the r numbers…

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to select a…

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Q: how many ways to are there for eight men and ten women to stand in a line so that there would be…

A: Consider the given information. Number of ways to arrange tan women can be defined as, 10P10=10!…

Q: 1. Assuming that any skirt can be paired with any blouse, in how many ways can Anna select her…

A: Here close friend invited Anna to her birthday party. Anna has 4 new blouses (stripes, with ruffles,…

Q: 2) Phone numbers consist of a three-digit area code followed by seven digits. If the area code must…

A: Given information- We have given that a phone number consist of a three-digit area code followed by…