Rachael owns all thirteen books in the A Series of Unfortunate Events series. In how many different orders can she place all of them on the top shelf of her bookshelf

Q: In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both…

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Q: One hundred twenty people each purchased one raffle ticket. Three winning tickets are randomly…

A: It is given that there are one hundred twenty people each purchased one raffle ticket. Total number…

Q: Two coins are randomly drawn from a coin pouch. If there are 5 dimes, 2 nickels, and a quarter, how…

A: As given there are 5 dimes, 2 nickels, and a quarter in a pouch. 1 nickel = 5 cents 1 dime = 10…

Q: In how many different ways can five teaching assistants be assigned to five sections of a course in…

A: It is given that 5 teaching assistants have to be assigned for 5 sections of a statistics course.…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: A class held a quiz bee for their different classes and students were awarded medals in different…

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Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 3 nickels, and a quarter, how…

A: The probability density function of X is obtained below:From the given information, number of coins…

Q: In how many ways could a club of 13 members choose a president, vice president, and treasurer

A: Total members = 13 The total number of ways that a club of 13 members choose a president, vice…

Q: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: To find n(S), determine the number of ways to choose five-card hands from a pack of 52 cards.…

Q: Determine if the following scenarios represent combinations or permutations. a. How many ways are…

A: Both Permutations and combinations are used to arrange the selection of k units from a set of…

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

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Q: In how many ways can a baseball coach prepare a batting order if: The coach still has to select the…

A: From the provided information, Total players = 12

Q: Elvis has 12 close friends. How many different combinations of 5 of them may be invited for dinner…

A: Total number of friends = 12 Number of friends she can invite = 5

Q: In how many ways can a class of 32 students select four people to serve on a committee?

A: Total number of students in the class (n) = 32 Number of students to be selected to serve on a…

Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: In how many ways can seven people A, B, C, D, E, F and G be seated around a circular table, if A, B,…

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that all are…

A: Given: The total number of cards in a deck is 52. The total number of the numbered cards in a deck…

Q: In how many ways can first, second, and third prizes be awarded in a contest with 210 contestants?

A: There are a total of 210 contestants. Remember that the same person cannot receive more than 1…

Q: Joe has 6 favorite baseball teams, and he puts their flags on his flagpole in random order. How many…

A: Solution

Q: 4. A club has 25 members. In how many ways can the President, Vice- President, Secretary, and…

A: As you have asked many questions. As per the answering guidelines we will solve first question only.…

Q: A class contains 9 boys and 3 girls. (a) In how many ways can the teacher choose a committee of 4?…

A: ANSWER: From the given data,

Q: How many ways are there to win first, second, and third places in a rally with 14 cars, provided…

A: The number of cars in the rally is 14. The first place can be chosen in 14 ways. Since one car has…

Q: 8 people stand in line at a movie theater. Into how many different orders can they be arranged? 40…

A: 1. Number of people standing in a line = 8 If the people are arranged in a line at a movie theater,…

Q: A coin is tossed five times. In how many ways can it fall three heads and two tails?

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Q: 4. Your school is hosting a Mathletes competition in which senior and junior teams will be entering.…

A: Selection of x items from n objects can be represented by combination  Cxn and arrangement of same…

Q: A automobile race contains 15 racecars. In how many ways can the racecars finish in first, second,…

A: A automobile race contains 15 racecars.

Q: In how many ways can 11 people be seated in a row of 11 chairs if Janet insists on sitting in the…

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Q: f there are eleven​multiple-choice questions on an​ exam, each having three possible​ answers, how…

A: Given that  Number of multiple choice questions in exam (n) = 11  Each question has 3 possible…

Q: There are 10 guest at your home for a dinner party. In how many ways could the guests arrange…

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Q: The Al Baloushi family is selecting a furniture set. A furniture set has a bed, a desk and a…

A: Let us assume that B ; D ; R denotes the event that  1 Bed , 1 desk and 1 dresser are selected  Then…

Q: In how many different ways can 17 faculty members form a panel consisting of a​ Chair, a Vice​…

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Q: In a class of 18 girls and 15 boys, in how many ways can a girl get the highest grade, a boy second,…

A: Consider the given information.The number of the boys is 15 and the number of the girls is 18 girls.

Q: How many five-card hands (drawn from a standard deck) contain exactly three nines? (A five-card hand…

A: There are 4 nines in a deck of 52 cards. We can select 3 nines in 4C3=4 ways.

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

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

Q: In how many different ways can we select a committee consisting of 4 engineers 3 chemists, and 2…

A: Given Information: To find out the number of different ways we can select a committee consisting of…

Q: A track race has 6 participants. In how many orders could the runners possibly finish

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Q: If eight persons are having dinner together, in howmany different ways can three order chicken, four…

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Q: A city soccer league has 8 teams.  In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams.  Since it is ranking, so order…

Q: 4. In a certain class, 20 students do not like Spider-Man nor Dark Knight. In the same class, 74…

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Q: ally lives in City A and works for the department of transportation. She needs to inspect the weigh…

A: It is given that the number of cities to inspect is 13.

Q: A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you…

A: Solution: We have to find out answer

Q: If a bank sends a random 5-digit number to customers for security, how many potential numbers are…

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Q: A club has 25 members. a) How many ways are there to choose four members of the club to serve on an…

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Q: Micah owns all thirteen books in the A Series of Unfortunate Events series. In how many different…

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Q: How many ways can 10 people (Luffy, Zoro, Nami, Usopp, Sanji, Chopper, Robin, Franky, Brook, Jimbei)…

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Q: In how many ways can a chairperson and a vice chairperson be selected from a committee of 15 people?

A: For the following question

Q: In how many ways can a class of 32 students select a president, vice president, treasurer, and…

A: Given, Total number of students = 32  Selected students : 1 President, 1 vice president, 1 treasurer…

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

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Q: In how many different ways can a president, vice-president, secretary, and a treasurer be selected…

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