How many ways can the letters in the word PARALLEL be arranged if the letters P and R are together?

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Q: How many ways can 3 teachers and 4 veterinarians be seated on a bench with the teachers seated…

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

Q: Complete the following for y = 3x x=-2, y= x=-1, y= x= 0, y= x= 1, y= x= 2, y=   Please type out…

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Q: you are given the word PARALLEL, compute the number of different 8-letter arrangements can be…

A: Here Given Word PARALLEL So Here Total Number of letter=8 NO of P=1 NO OF A=2 NO OF L=3 NO OF R=1 NO…

Q: How many arrangements can be made from the letters of the word

A: Given, the word                   GODDESS

Q: For this problem, assume there are 9 adjacent seats in a row. How many different ways can 9 people…

A: 9! = 9*8*7*6*5*4*3*2*1 = 362880

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: . A and B can do a piece of work in 18 days; Band C can do it in 24 days A and C can do it in 36…

A: We have to find that ,in how many days A,B and C finish the work together and separately.

Q: How many 6-places license plates are possible if he first 3 places re to be occupied by letters and…

A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…

Q: In how many ways can 9 gifts be divided between 4 children if the eldest child is to receive 3 gifts…

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Q: How many different routes can a saleswoman have if she must visit eight different companies in a…

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Q: Janice jogs every 4 days and Jennifer jogs every 3 days. If today is a Tuesday and Janice and…

A: Given, Janice jogs every 4 days and Jennifer jogs every 3 days. Today is a Tuesday and Janice and…

Q: Give an example of how to apply Polya's Four Steps to Problem Solving on a math problem, or how you…

A: It is required to Give an example of how to apply Polya's Four Steps to Problem solving on a math…

Q: 2. In each problem, show three examples and make a correct conjecture. a) Describe the product of…

A: We have to make correct Conjecture of given three question

Q: A password has a length of four letters of the 26 in the English alphabet. If the password only has…

A: no.of english alphabets=26

Q: Six men and eight women are to line up for a picture with the six men in the middle. How many ways…

A: Given that  Six men and eight women are to line up for a picture with the six men in the middle  How…

Q: Saba is x years old. Her brother is 8 years older ,and her sister is 12 years younger than she is.…

A: We are given that Saba is x years old. Her brother is 8 years older. So, her brother's age is x+8.…

Q: Give the 5 correct conclusions from the diagram

A: Given:

Q: Q5. In how many ways can 7 men and 10 women sit in a row if the seat numbers 1-7 are for the men the…

A: Number of ways to allocate 7 men in seats 1-7 will be: Number of ways = 7!…

Q: One of Shakespeare's sonnets has a verb in 10 of its 15 lines, an adjective in 10 lines, and both in…

A: Let the total number of lines be nU=15 The total number of lines having verb be nV=10 The total…

Q: 6. A seven-person committee composed is of Venice, Kevin, Joe , Shane, Grace, Mike and Dana needs to…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: A pattern has 5 no blue triangles to every 20 yellow triangles. What is the Ratio of yellow…

A: Solution:-

Q: A license plate has the form YYY-MATH, in which Y is a digit from 1-9, M has to be the number 5, A…

A: First we will find the number of choices for each then multiplying those choices will give us How…

Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

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Q: a. How many ways can the letters of the word BECOMING be arranged in a row? b. How many ways can the…

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Q: Refer to a set of five distinct history books, three distinct biology books, and two distinct…

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Q: A certain number of points are equally spaced around a circle. Each point is to be joined to every…

A: A certain number of points are equally spaced around a circle. Each point is to be joined to every…

Q: Nine men and six women are to line up for a picture with the nine men in the middle. How many ways…

A: It is provided that there are nine men and six women who are line-up for a picture with the nine men…

Q: What is "One-quater of what number is 12

A: We have to find One-quater of what number is 12.

Q: Suppose it is known that all dogs on the earth have 4 legs. You venture outside and see a dog in the…

A: Irlt is given that all dogs on tge earth have 4 legs.

Q: 20) Karrie traveled for 0.75 hours in her motorboat upstream to pick up her order of eighty-four…

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Q: In how many ways can 6 boys and 7 girls sit in a row if the girls and boys must alternate?

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