In how many distinct orders can the sweaters be arranged if two sweaters of the same color are considered identical (not distinct)?

Q: If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be formed from…

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Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…

A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…

Q: Walter is creating a 5 digit code for an electronic lock. He can use any number, but cannot use the…

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Q: Find the number of ways to divide 20 people into Group A (8 people), Group B (7 people) and Group C…

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Q: Amy is arranging 11 cans of food in a row on a shelf. She has 4 cans of peas, 1 can of carrots, and…

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Q: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

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Q: A business has hired 12 new employees and must assign 8 to the day shift and 4 to the night shift.…

A: We have given that  A business has hired 12 new employees and must assign 8 to the day shift and 4…

Q: A sales assistant is hanging 13 sweaters on a rack. He has 3 gray sweaters, 4 green sweaters, and 6…

A: Where, n= total number of sweaters=13n1=gray sweaters = 3n2=green sweaters = 4n3=brown sweaters = 6

Q: Your car seats 5 people, including the driver. You have 4 friends who all do not have driver’s…

A: The objective of this question is to find out the number of different ways the 4 friends can arrange…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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Q: I am arranging my dog's collars on a 6 hanger coat rack on the wall.  If she has six collars, how…

A: Given that there are 6 hangers and there are 6 collars.  So I can hang the first collar in 6 ways.…

Q: A census taker visited the Jones household, and asked Mrs. Jones for the age of her three sons. Mrs.…

A: After knowing that the ages multiply to 76, here is a complete list of the possibilities:Ages:…

Q: Colin has 9 cd’s in his carrying case – two John Tesh, three Michael Jackson, and four Beatles. How…

A: Given: Number of cds = 9 Number of John Tesh cds = 2 Number of Michael Jackson = 3 Number of Beatles…

Q: Suppose Allan is going to build a playlist that contains 12 songs. In how many ways can Allan…

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A: Given: Total number of players in a team are 16.            Number of positions are 9. To find:…

Q: The Croods, Half Brothers, All My Life, The War with Grandpa, and Let Him Go are playing tonight at…

A: Suppose we have n different positions and n different object to place then we can numbered position…

Q: Deandre is arranging 11 cans of food in a row on a shelf. He has 7 cans of carrots, 3 cans of beans,…

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Q: In how many ways can 10 people be seated in a row of 10 chairs if Janet insists on sitting in the…

A: The main objective is to find the permutations for the given problems.

Q: How many ways can 2 students be selected from a group of 5 students if order does not matter?

A: Given information- We have given that we have given a group of 5 students. We have to select 2…

Q: or this problem, assume that 13 exhibits entered the science fair, and that we want to assign 5…

A: Given Data :  Number of exhibits are 13 in a science fair                        Number of Prizes…

Q: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro 12.9‑inch),…

A: Given data: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro…

Q: A computer user has downloaded 23 songs using an online file-sharing program and wants to create a…

A: GivenNo.of downloaded songs(n)=23no.of  songs to use in CD player(r)=8

Q: ario painted identification letters on his bicycles so that he could track which ones are being used…

A: Since every cycle is coded with three letters of English alphabets, which starts with alphabet M.…

Q: A clerk at a bookstore is restocking a shelf of the best-selling novels. He has two copies each of…

A: Part 1: The total number permutations in which 6 books can be arranged is 6! Since there are three…