From a list of 40 teachers, 5 are to be promoted to subject area coordinator. In how many ways can this be done?

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A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

Q: 38. How many different committees can be formed from 5 professors and 15 students if each committee…

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Q: You are tasked to arrange five different Mathematics books, four different Science books, and three…

A: Given,no.of mathematics books=5no.of science books=4no.of English books=3

Q: Suppose we want to choose 4 objects, without replacement, from 18 distinct objects. (a) How many…

A: Permutations and combinations

Q: 1. If there are five types of batteries which are AAA, AA, C, D, and 9-volt and you want to put…

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Q: 1/5 of a class study english and 3/5 study math. If the class consists of 80 students, how many…

A: In this question we need to find out how many students study English and math in the class. total…

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second, and…

A: There are 12 athletes joining the Marathon therefore the places can be chosen as follows: The first…

Q: A fast-food restaurant compiled the following information regarding its employees. 20 cooked or…

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Q: Your international diplomacy trip requires stops in Thailand, Singapore, Hong Kong, Laos, and Bali.…

A: Given information Trips are Thailand, Singapore, Hong Kong, Laos and Bali Total places = 5 Last stop…

Q: From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different…

A: Given : No. of statisticians = 5 No. of economist = 6 Total no. of persons = 5+6=11 Sample size (n)…

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 New club at Arvin High has 22 members. In how many ways can the club elect a president and Vice…

A: The number of members in the club is 22. The number of ways of electing a president is C122=22.…

Q: 3. From a list of 40 teachers, 5 are to be promoted to subject area coordinator. In how many ways…

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: 2. Marie, Ten-ten, My-my, Shayne, and Gelli plan to form a musical band. In how many ways can they…

A: We have to find how many ways can they be seated in a round table if Ten-ten and My-My will not sit…

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

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1. There are 3 similar Mathematics books, 2 similar Science books, 4 similar Filipino books, and 3…

A: We are entitled to solve only 1 question at a time so I am providing the same. Kindly repost the…

Q: 1. If there are two ways to go to Pampanga from Manila and three ways to go to Bataan from Pampanga…

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Q: If 4 out of 6 students at a college are full-time students, what is the enrollment at the college if…

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Q: A crew of apollo 17 consisted of a pilot, a copilot, and a geologist. Suppose that NASA had actualy…

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Q: 1. How many students like either Realistic Fiction, Mystery or both? 2. How many children like all 3…

A: Hi, Thank you for the Question. Since you have posted multiple questions we will answer the first…

Q: a. How many different ways can the officers be appointed?

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Q: 41 children need to be assigned to five Tee ball teams. The league wants each team to have 8…

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Q: If a club consists of 13 members, how many different arrangements of president, vice-president, and…

A: Here we have to arrange president, vice president and a secretary. An office can be run by only one…

Q: 3. While they were researching marmosets, a particularly convoluted walk through Wikipedia caused…

A: Total number of letters=28 , which includes  A N T I D S E B L H M R 4 3 3 5 1 4 2 1 1 1 2 1…

Q: A 4-person grievance committee is to be selected out of 2 departments, A and B, with 16 and 23…

A: As this is a multiple subpart question according to the Bartleby Answering rule, only first three…

Q: Suppose thirty-six (36) students signed up for classes during an orientation session. If exactly…

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Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

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Q: If radio station call letters must begin with either the letter K or W and must include either two…

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Q: The numbers of users that check social media daily is the same for "35 to 44" and "45 to 54" age…

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Q: 1. The IE Falcons plays 14 games during the COE Basketball Tournament. In how many ways can the team…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: If radio station call letters must begin with either K or W and must include either two or three…

A: Multiplication Rule of Counting:If there are p selections for the 1st option, q selection for the…

Q: Five persons, A,B,C,D, and E, are going to speak at a meeting. a.) In how many orders can they take…

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Q: 5a. In a club consisting of 15 members, how many different ways can a 4-person committee where…

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Q: Use venn diagrams to determine whether the argument is valid or not valid

A: Given: All boy scout serve the country U and person S is a boy scout. Solution: Consider a rectangle…

Q: In how many ways can 5 boys and 4 girls be arranged on a bench if there is no restriction? How about…

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Q: If there are 13 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

A: Given information- We have given that there are 13 employees in a club. They want to choose a…

Q: In how many ways can the Principal and the 8 Headteachers of the different departments be seated in…

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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: how many ways can the committee be formed?

A: Given: 34 faculty members are present  We need to select a chair, vice chair , secretary and 5…

Q: there are 18 people from the mathematics department and 325 people from the computer science…

A: see my solution below

Q: 4. Ms. Green must choose three students from her chess club to speak on the Rebel Report. If the…

A: Given that  Total member=8 She choose member=3

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: 6) The ski club with twelve members is to choose three officers captain, co-captain & secretary, how…

A: To find the number of ways

Q: How many ways can 10 people line up if Joey and Sally cannot be next to each other? If the same…

A: here we have to use permutation ( arrangement )  Number of way r object can be arranged by taking…

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

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

A: Given that there are total 40 teachers.  Among them, a group of 5 teachers will be promoted to…

Q: A Maryland automobile license plate consists of three letters followed by three numbers.  How many…

A: As per bartleby guidelines only one question should be answered once, please upload each question…

Q: a. How many of the students polled had applied to exactly two of the universities? b. How many…

A: The given data is  The sample space contains = 60 students Number of elements in Sample space = n(S)…

Q: A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6…

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

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.