How many possible ways can five different pictures be hung along a wall?     5     120     50     50

Q: 9 children are to be seated on a bench. How many ways can the children be seated and ordered on the…

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Q: In how many ways can a family of seven be seated at a round table if two brothers must sit together?…

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Q: A bag contains 4 red, 6 white, and 9 blue marbles. How many ways can 5 marbles be selected to meet…

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Q: How many ways can a male and a female be selected to decorate for a party from a club consisting of…

A: We will find out the required total number of ways.

Q: 10) There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how…

A: Given data 8 members available  We have to select 6 from it for committee Here order of selection…

Q: How many ways can 5 bicycles be parked if there are 9 available parking spaces?

A: Number of ways in which 5 bicycles can be parked if there are 9 available parking spaces.

Q: how many way can six books be arranged on a shelf

A: We need to find the number of ways for arrangement of six books on a shelf.

Q: how many ways can 5 different glasses be arranged on a clean rack if two specific glasses must…

A: Number of different glasses that can be arranged in a clean rack after two glasses occupy at ends =…

Q: 1. Given 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A: Note: According to Bartleby guidelines expert solve only one question and rest can be reposted.

Q: How many ways can we pair up 24 dogs with 24 cats for example one dog to one cat?

A: We have to pair 24 dogs with 24 cats

Q: How many numbers can be formed from the digits 1, 2, 3, and 4 if repetitions are not allowed?

A: How many numbers can be formed from the digits 1, 2, 3, and 4 if repetitions are not allowed.

Q: 1. There are six runners in the 100-yard dash. How many ways are there for three medals gold, silver…

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Q: A luxury liner has 20 rooms on the upper deck. In how many ways can 5 passengers be assigned to…

A: From the provided information, A luxury liner has 20 rooms on the upper deck. 5 passengers to be…

Q: A student must answer 7 of the 10 questions that are on a exam. How many ways can the student select…

A: Given that  A student must answer 7 of the 10 questions that are on a exam. To find How many ways…

Q: A student has 15 video games: 4 adventure games, 4 arcade games, 2 puzzle games, and 5 sinnilation…

A: In order to find the solution of the given question, we will use the concept that the number of…

Q: 23. In his suitcase, Jack has 3 shirts, 4 pants, 2 socks (pairs of socks), and 2 shoes (pairs of…

A: Given: In his suitcase, Jack has 3 shirts, 4 pants, 2 socks(pair of socks), and 2 shoes(pair of…

Q: How many different ways can six different objects be arranged i

A: Factorial: n!=n*(n-1)*(n-2)*.....*2*1 Given that there are 6 different objects. That is, n=6

Q: In how many ways can a class president, vice president, secretary and treasurer from a class of 100…

A: Given100 studentsTo findHow many ways a class president, vice president,secretary and treasureecan…

Q: How many ways can a male and a female be selected to decorate for a party from a club consisting of…

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Q: There are 4 different Mathematics books and 5 different Science books. In how many ways can the…

A: 4 different Mathematics books  And,                              5…

Q: b. The FIFA World Cup 2018 in Russia consists of 32 teams. How many ways for the top 3 teams exist?

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Q: How many 7-digit telephone numbers are possible if the first digit cannot be four and (a) only even…

A: Note: Thank you for the question. As you have posted multiple sub-parts, we have solved the first…

Q: A clown owns 8 hat(s), 7 horn(s), 6 oufits. How many different outfits can the clown put together if…

A: Solution

Q: You and 10 friends all have tickets for seats in the same row at a concert. How many different ways…

A: Please see the explanation below

Q: An office building has six doors. In how many ways can a person enter the building through a…

A: When a number of things are arranged in some order or a rearrangement is made for those things, this…

Q: You have 2 Math books, 3 History books, and 6 Science books. How many ways are there to arrange the…

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Q: How many ways can you arrange all the letters of the word “DEED”   3.1. if all letters are taken…

A: Total number of letters = 4 Number of times D comes = 2 Number of times E comes = 2 1)  Number of…

Q: How many unique ways can the letters for M-A-X-I-M-U-M be arranged?

A: To find the number of ways that the letters can be arranged.

Q: Ten students in a Mathematics contest are competing for first, second and third prize. How many ways…

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Q: An organization consists of 20 members. They wish to select four officers; a president, a Vice…

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Q: How many different ways can a visiting nurse visit  9  patients if she wants to visit them all in…

A: number of patients n=9   Different number of ways that n different items can be arranged is n!…

Q: In how many ways can 5 people line up to pay their electricity bills if two particular persons…

A: Numbers of way they can line up if two particular persons refuse to follow each other = Total…

Q: a chief can prepare 20 different dinners. in how many ways can he select 6 of them for todays menu

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Q: In how many ways can 3 letters be put in five boxes

A: Number of boxes available = 5 Number of letters = 3 Hence, the number of ways in x letters can be…

Q: (i) How many ways are there to seat five different boys and five different girls along one side of a…

A: There are 10 seats in total. There are 5 boys and 5 girls to be seated. There is no restriction on…

Q: How many different ways can the podium be arranged? (The podium has a spot for only the 1st, 2nd and…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: How many ways can be made out of the letters in the word HONESTY taking four letters at a time?

A: Given : A word HONESTY

Q: How many four digits numbers can be formed from the digits 1 2 3 4 5 6 7 if repetition is not…

A: We have to make four digit numbers without repetition. Here we have 7 digits (1,2,3,4,5,6,7) and we…

Q: There are 12 different books in a bag. In how many ways can we take 4 books from the bag and stack…

A: From the provided information, There are 12 different books in a bag and 4 books taken from bag.

Q: 3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the…

A: We have given that the 6 men and 5 women. Total number of persons are 11.   Combination formula: C(…

Q: #5. There are seven different chairs and five people in a room. How many different ways are there to…

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Q: 7. There are 12 students in a class. In how many ways can the 12 students take 3 different tests if…

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Q: How many different 6-letter words can be made a. if the first letter must be E or W and no letter…

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Q: how many ways can a student wear his 6 shirts, 4 pants and 2 shoes

A: There are 6 shirts, 4 pairs of pants and 2 pairs of shoes for the student.   To find: In how many…

Q: In how many ways can we choose 5 students from 7 boys and 5 girls?

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Q: If repetitions are not allowed, how many three digit numbers formed with the digits 0, 1, 2, 3, 4,…

A: Topic = Permutation and combination As per guidelines , at a time only three sub-parts of a question…

Q: A family has 6 kids. In how many ways could the parents have the three boys and three girls?

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Q: 2. In a certain country, license plate numbers have 3 letters followed by 3 digits. How many…

A: here use counting principle  for combination  nr = n!(n- r)! r!

Q: A student has 20 video games: 4 adventure games, 6 arcade games, 5 puzzle games, and 5 simulation…

A: Given: Number of adventure games  = 4 Number of arcade games = 6 Number of puzzle games = 5 Number…