In how many different ways can five people be seated in a row if two of them insist on not sitting next to each other?

Q: Ten pirates find a sack of gold coins. When they try to divide up the gold (with equal shares for…

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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: Suppose you are to seat three people (Anna, Beth and Charlie) in a row. In how many ways, can they…

A: For three people (Anna, Beth and Charlie) We have to check seating arrangement so that Anna is…

Q: 3. Wayne has a pile of 20 books to read. (a) In how many orderings can he read them? (b) In how many…

A: Finding the solution of all three subparts

Q: A legislative committee consists of 5 Democrats and 4 Republicans. A delegation of 4 is to be…

A: Answer

Q: Soccer Shootout In soccer, a tie at the end of regulation time leads to a shootout by three members…

A: From the provided information, the total number of players are 11.The required total number of ways…

Q: Example: A box contains six green balls, five red balls, and eight yellow balls. How many ways are…

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Q: How many ways can 7 students standing in a line be arranged John must be first in line and Chloe be…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: Three men and three women line up at a checkout counter in a store. In how many ways can they line…

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Q: Eight friends on bicycles find an empty bike rack with exactly eight spots for bikes. How many ways…

A: Adya and Moira can park at the ends in 2!=2 ways.  When the ends are occupied then (8-2)=6 spots…

Q: animal shelter lines up 9 cages in a row. 4 of the cages contain cats and 5 of the cages contain…

A: Consider all the 4 cages of cats as 1 unit of cage. &, Consider all the 5 cages of dogs as 1…

Q: Patty’s Dessert Platters lets you pick one type of cookie, one type of pastry and one candy treat…

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Q: (b) All the letters of the word COMBINATION are to be arranged in a row. i. Find the number of…

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Q: Three couples have purchases tickets for a stage play. Spouses are to be seated next to each other…

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Q: How many ways can five people, A, B, C, D, and E, sit in a row at a movie theater if D and E will…

A: five people A,B,C,D,E sit them in a row of movie theater so that D and E will not seat next to each…

Q: Three men and three woman have just six tickets in one row to the theater. In how many ways can they…

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Q: Selecting Objects An urn contains 7 white balls and 3 redballs. Three balls are selected. In how…

A: An urn contains 7 white balls and 3 redballs. Three balls are selected. In how many ways can the3…

Q: How many ways can 4 prizes be given away to 3 boys (one boy can receive 1 prize), if each boy is…

A: Let b1,b2, and b3 are 3 boys Let p1,p2,p3 and p4 are four prizes. b1 can receive any of the 4…

Q: License plates The RBC Heritage Classic Foundationlicense plate is available to anyone with a…

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Q: Bryan is setting chairs in rows for a graduation ceremony. He has 50 black chairs and 60 white…

A: Bryan is setting in rows for a graduation ceremony. He has 50 black chairs and 60 white chairs. Each…

Q: There are different ways to arrange 8 video game cartridges on a shelf.

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Q: A boy has a collection of 20 pennies, 8 nickels, 10 dimes and 15 quarters. How many coins must the…

A: ANSWER :

Q: how many ways can a teacher sit 12 students in two rows of 6 chairs if Bobby must sit in the front…

A: Given: Total number of students = 12 Number of seats in each row = 6 Bobby is in first row and Billy…

Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 8 different…

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Q: people. How many co

A: Let's denote the number of tents of each type as follows: x: Number of 2-person tents y: Number of…

Q: Ten honors students, each from a different high school in a county are lined up in two rows of five…

A: Here use combination and total arrangement

Q: Dinner Selections How many ways can a dinner patron select 4  appetizers and 3  vegetables if there…

A: 7  appetizers and  12 vegetables on the menu. dinner patron select 4  appetizers and 3…