Answer each permutation problem completely. 1. During ECQ, only 1 family member is allowed to leave the house. If there are 5 family members and all of them are qualified to leave according to IATF, in how many ways can they schedule themselves in doing their errands?

Q: 1. In how many ways can you create 2 letter words from the letters in the word DAVE? Answer: 2. How…

A: The number of ways to select r elements out of n distinct elements is computed using the combination…

Q: How many permutations can be made out of the letters in the word island taking four letters at a…

A: We have to find number of permutations possible.

Q: guidance counselor is planning schedule for 30 students. Sixteen students say they want to take…

A: As per our guidelines,w e are allowed to answer first three sub-parts only. thanks Given : F = 16…

Q: Q: On how many nights may a watch of 4 men be arranged by a security ag ency from a crew of 16 so…

A: Given:       Number of nights in which no two nights have same group of 4 men…

Q: 1. Fifteen students ask to visit the Office of Admissions of CSU. Each visit includes one student.…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: USA today reported that about 20% of all people in the United States are illiterate. Suppose you…

A: Let success be defined as literate people. Probability i=of literate people (or success) is p=0.8…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b)…

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Q: each is a permutation or a combination and then evaluate. 38. In how many ways can an investor…

A: The selection of elements without arrangement can be represented by a combination of elements. 38.…

Q: 4-person grievance committee is to be selected out of 2 departments, A and B, with 15 and 25 people.…

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Q: 1. He will repair 2 broken cars in a week 2. Out of 26 pending cars, he will fix more than 50% in a…

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Q: ) In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Q(3): The license plates are formed by choosing 2 letters (from total 26 alphabets) followed by 4…

Q: How many different 7-letter words can be made a. if the first letter must be E, X, T, or L and no…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: Suppose we want to choose 7 objects, without replacement, from 9 distinct objects. (a) How many ways…

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Q: 3. A delegation of 4 students is selected each year from a technical school to attend the Skills…

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Q: A computer programming team has 9 members. a. How many ways can a group of five be chosen to work on…

A: The are 9 members in the computer programming team. Useful formula: Crn=n!r!n-r!

Q: In a survey of 103 ​resorts, it was found that   30 had a spa. 58 had a fitness center. 38 had a​…

A: Let A represents the spa, B represents the fitness center and C represents the children's club. From…

Q: 3. A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

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Q: A woman has nine close friends. (a) In how many ways can she invite six of these to dinner? (b)…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here use counting principle

Q: 7. A computer programming team has 13 members. a. How many ways can a group of seven be chosen to…

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Q: 4. Choose 5 members of 20 members of a college Math Club. Determine whether to use combination or…

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Q: A 4-person grievance committee is to be selected out of 2 departments, A and B, with 16 and 20…

A: We have to solve

Q: group of 9 grade 11’s and 13 grade 12’s apply to go to a student conference in Vancouver, but there…

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Q: a contractor builds homes of 9 different models and presently has 3 lots to build on. In how many…

A: Given: A contractor builds homes of 9 different models and presently has 3 lots to build on.

Q: 1- Among a group of students , 50 played Cric ket, 50 played hockey and 40 played vo lley ball. 15…

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Q: A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to…

A: a) There are total 17 members  We can pick 9 from 17 members in 17C9=24310 ways  Answer(a): 24310

Q: 16. Rabiah was given a chance to choose 8 books from 20 available books to be taken home, in how…

A: Permutation is arrangement of number of objects in a definite order. And, Combination is the…

Q: 10. A salesperson living in city A wishes to visit five cities B, C, D, E, and F. a. If the cities…

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Q: The 12 colleges of interest to a high school senior include 8 that are expensive​ (tuition more…

A: It is given that, 12 colleges of interest to a high school senior include 8 that are expensive​…

Q: Determine if each is a permutation or a combination and then evaluate. 32. How many groups of three…

A: Note: “Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: ose a board of 5 men and 5 women and that a committee consisting of 7 board members is to be formed.…

A: Given that  Number of men = 5 Number of women = 5 Committee must consists of 7 board members A…

Q: 2. Answer the following below: i. In how many ways can 3 runners be selected from a group of 10…

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Q: 4. How many permutations are there of the letters in the word BALLOON if the first and the last…

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

Q: 3. How many possible ways to assign a room for each of the 5 students, suppose we have 8 rooms…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 3. a. How many ways can the letters of the word EMULATOR be written in a row? b. How many ways can…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

A: From the given information, Total number places in the employee ID that needs to filled up =6 Total…

Q: Suppose we want to choose 5 objects, without replacement, from 17 distinct objects. (a) If the order…

A: We will the number of ways in both conditions as following.

Q: Answer each permutation problem completely. 1. Find the distinguishable permutation of the word…

A: 1. Find the distinguishable permutation of the word AUSTRALIA. 2. Find the distinguishable…

Q: How many different 5​-letter radio station call letters can be made a.  if the first letter must be…

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

Q: 3. How many different 5-digit identification tags can be made a.if the digits can be used more than…

A: Given: Number of digits in an identification code = 5 Total number of digits = 0 to  9 = 10

Q: A new vaccine is being tested on a group of 4000 people by giving 2500 people the vaccine and the…

A: there are total of 4000 people. Out of which 2500 are to be given a vaccine. (a) out of 4000 people…

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

A: Given: Number of seats = 8

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: Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute…

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Q: GIVEN THE FOUR LETTER A,B,C,D SELECT TWO LETTERS WITHOUT REPLACEMENT A- LIST OUT ALL THE OPTIONS FOR…

A: A. The four letters are A, B, C, and D. The possible outcomes for selecting two letters without…

Q: 2. There are 102 students in John's freshman seminar class at SUNY Oneonta. The professor tells her…

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Q: company’s CEO has 8 people reporting directly to her, and she wants to select 2 to attend the grand…

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Q: Suppose that thirty-two students signed up for classes during an orientation session. If exactly…

A: Given Total number of students signed up for the classes during an orientation session = 32 Exactly…

Q: 2. a) How many ways can a psychology student select 5 subjects from a pool of 20 subjects and assign…

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.