How many different patchwork quilts, four patches long and three patches wide, can be made from five red and seven blue squares, assuming that the quilts cannot be turned over?

Q: Find the number of distinct arrangements of the 10 letters in WOODWORKER. Two of the same letter are…

A: Given 10 letter word is WOODWORKER

Q: How many different arrangements are there for the 10 letters of the name FLORDELIZA?

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Q: In how many ways can 12 students be partitioned into 3 teams so that each team would have 4 members?…

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Q: How many distinct arrangements of the letters in the word “footballers” are possible?

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Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

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

A: Two coins are randomly drawn out from  a coin pouch . In a pouch we have given that there are 4…

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

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Q: In how many ways the letters of the word “ROLLER” can be arranged?

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Q: Find the number of permutations of the letters j, k, l, m, n, o and p taken 4 at a time

A: The given letters are j, k, l, m, n, o and p. 4 letters are taken at a time.

Q: A particular brand of shirt comes in 8 colors, has a version with a pocket and one without, and…

A: The shirts can be any of the 8 colors.

Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

Q: Assume that the candle manufacturer has 7 types of round candles and 5 types of square candles…

A: Permutations and combinations: When one has to choose among a set of objects or people, then…

Q: In how many ways can 10 engineers be seated in a round table?

A: From the provided information, Total number of engineers = 10

Q: How many ways can you pick the cars so not both are the same siz

A: Number of subcompact cars=7 Number of compact cars= 4 Number of midsize cars= 7 Total cars= 18

Q: In how many ways can 6 different cupcakes be arranged in a circular stand?

A: The number of ways n items can be arranged in a circle is equal to n-1!. The formula for n! is…

Q: Find the number of distinct arrangements of the 8 letters in GIGGLING. Two of the same letter are…

A: The number of distinct arrangements is obtained below:   From the given information, the given word…

Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

Q: In how many different ways can ten books be arranged on a shelf?

A: Given that there are ten books available to arrange them in shelf.

Q: Jay has 14 stat books. In how many different ways can he arrange 4 of them on a bookshelf?

A: Permutation is defined as an arrangement of objects in a definite order. The members or elements of…

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

Q: nt the trees in a row, assuming that the trees are evenly spaced? e trees can be planted in…

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Q: In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370…

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Q: How many arrangements are possible if all the letter E must be next to each other of the word…

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Q: A golf-course architect has six linden trees, five white birch trees, and three bald cypress trees…

A:

Q: How many different arrangements are there for the eight letters {a, c, f, g, i, t, w, x} ? a. How…

A: a.  since we know the 1st letter is t.  The second letter in the permutation can be choosen in 7…

Q: The freshman basketball team has ten players. Only five can play on the court atone time. How many…

A: Given problem:- The freshman basketball team has ten players.Only five can play on the court atone…

Q: Find the number of permutations using 4 different letters a, b, c, and d, if they are taken 2 at a…

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Q: Five cards are dealt off of a standard 52-card deck and lined up in a row. How many such line-ups…

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Q: How many different ways can the letters of ​"knitting​" be​ arranged?

A: We have given the word "knitting" Total number of letters = 8 Repeated letters- No. of n's = 2 No.…

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: How many different arrangements can b

A: Given the word          "SIPNAYAN"

Q: A new smartphone comes in five colors, two screen sizes, and four different data plans.  In how many…

A: It is given that a new smartphone comes in five colors, two screen sizes, and four different data…

Q: How many combinations are there of 26 letters taken items taken 2 at a time ?

A: The number of combinations  = nCr n : number of options available r : number of options to be…

Q: How many ways can five boys and five girls be seated alternately at a circular table?

A: Given: 5 boys and 5 girls are to be arranged in circular way alternately. The diagram can be…

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: A cargo ship unloaded a shipment of 12 photocopy machines that contains 3 defective units. In how…

A: