How many ways are there to arrange 10 people in a line? Suppose it took 1 minute to arrange these 10 people in any order you desired. How many years would it take to try out all of the possibilities?

Q: If x men working x hours a day for x days produce x bird houses then how many bird houses will be…

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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: 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: Suppose Jim is going to build a Playlist that contains 5 songs. In how many ways can Jim arrange 5…

A: Given: Jim is going to build a Playlist that contains 5 songs.

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: There are four fountains in a park. The first fountain sprays water every 5 seconds, the second…

A: We will use given data to find the required time.

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

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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: How many workers will be needed to complete a task in 8 days, given that 4 workers can complete the…

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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: f you read 20 minutes per day every day and end up reading 12 books in a year, each of which is of…

A: Number of books reading in a year = 12 Number of pages in a book = 200 Number of minutes read every…

Q: There are 10 pairs of socks (each pair is different) in a drawer in a dark room. Since you cannot…

A: There are  pairs of socks (each pair is different) in a drawer in a dark room.

Q: How many ways can a cricket team of 4 bowlers and 7 batsmen be formed from a group of 8 bowlers and…

A: GIVEN DATA : There are 8 bowlers and 11 batsmen       TO FIND : Number of ways a cricket team formed…

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: If each different arrangement takes one minute to shuffle around, how long (to the nearest tenth of…

A: There are total 15 books Here use concept of total arrangement

Q: In 2019 there were 446,479 births in California and California had a population of 39,512,223. (a)…

A: a) 1 year = 365 days.

Q: Assume that you are given 4 number, display card ,means you have 5 cards and each card having some…

A: Given there are 5 cards each having different number on them. Consider the two cards at a time are…

Q: John got a new puppy for his birthday. He watched the puppy climb up a flight of 12 steps and…

A: Given: Number of steps required = 12 Steps which a dog can hop = 1 or 3 Number of ways to climb 12…

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

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Q: Samantha owns 8 different mathematics books and 4 different computer science books and wish to fill…

A: We have given that Number of mathematics books = 8 Number of computer science books= 4

Q: Forty men working on a construction job had completed one-third of the job in the past 15 days. The…

A:

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: did you come up with 30 as the first number of the classes and 54 as the last number of the classes?

A: Concept: Creating interval for data points is a process is which we create interval that are easy to…

Q: How many ways are there to distribute 20 cents to n children and one parent if the parent receives…

A: Given:-          (a) The children receive any amounts: i. When parents receive a nickel = 5 cents…

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: Consider two A.P.'s: S₁: 2, 7, 12, 17,... 500 terms and S₂: 1, 8, 15, 22, ... 300 terms Find the…

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Q: 10. There are 11 women and 9 men in the math department. (a) How many ways can a committee of 4…

A: The combination rule of counting is used when the order of selection does not matter. So the number…

Q: Mr Anderson is 36 years old his son is 6 years old after how many years mr Anderson age will become…

A: How many years mr Anderson age will become exactly 2.5 times of his sons age?

Q: Ryan's overtime is figured on a 40 hour week. Last week he worked 49 hours. This week he worked 8…

A: Given: Ryan's overtime is figured on a 40 hour week.           Last week he worked 49 hours.…

Q: Suppose that I have 250 pieces of candy, I randomly pick 15 of them from the bar and so over that 6…

A:

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: How many days will it take Johan to read a 920-page book if he reads 20 pages the first day, 25…

A:

Q: There are 15 teaching assistants available for grading papers in a calculus course at a large…

A: Here Given  Total no of teaching assistant=15 No of Question=4 Now here given All 4 question has…

Q: You have been asked to cut 5 boards (exactly the same length after the cut) and place them end to…

A: Topic = Functions

Q: 6. Suppose you are at a buffet and there are 10 vegetarian options and 6 options with meat. How many…

A: 6. Given that, there are 10 vegetarian options and 6 options with meat at a buffet. It is required…

Q: In a multiple-step calculation, is it better to round off the numbers to the correct number of…

A: We are asked that which is better -to round off  the number in every step to the correct number of…