How many ways can 5 distinct books be arranged on a shelf if Book 1 and Book 2 must always be placed next to each other?

Q: The number of calls to a local 911 call-center, which receives an average of 2 calls per minute, is…

A: The objective of this question is to calculate the probability of a certain number of events (calls…

Q: B) People shopping at the grocery store are interviewed to see whether or not they enjoy artichokes.…

A: In this case, each sampled person has the only options of "like" (defined as success) or "dislike"…

Q: .  A committee of 4 people needs to be selected from a group of 8 candidates. How many different…

A: Combination: It is nothing but the selection of objects where the order of selection is not…

Q: Joe has 6 favorite baseball teams, and he put their flags on his flagpole in random order. How many…

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Q: There are 5 marbles in a jar.  They each have a number.  The numbers range from 1 – 5. Write a…

A: Given: 5 marbles in jar Numbered from 1 to 5

Q: The Knightrola Lottery has been updated to allow choosing 6 numbers out of 63 on a $1 ticket.…

A: Cost of 1 lottery ticket is $1. Total number in the lottery are 63. Total selected number for 1…

Q: How many ways are there to arrange the letters in the word OHIO? Number

A: Note: According to our guidelines we can answer only first question and rest can be reposted.

Q: elve the fotlowing using counting priricipies. Use another sheet of paper if needed. 1) Kathy plans…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION PLZ REPOST FOR REMAINING PARTS  Here use…

Q: During the 4th of July weekend, state troopers arrested 390 drivers for DUI. Of those, 45% were…

A: Total number of arrested driver= 390  50% were suspected of using marijuana. So, 50% of 390 =…

Q: Read carefully. If there are 12 one-cent stamps in a dozen, how many two-cent stamps are there in a…

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. Please post another…

Q: A trader buy's 80 mangoes. she finds that 8 are bad and a further 22 are unripe ,show on a pie chart…

A: Given data:- Total number of mangoes = 80 Bad mangoes = 8 Unripe mangoes = 22

Q: mary ann,hazel,and analyn want to know what numbers can be assigned for the frequency of of heads…

A: The sample space of a fair coin flip is {H, T}. The sample space of a sequence of three fair coin…

Q: For a school project, 3 students need to produce a sample of students at their school. Which of the…

A: Random sampling a.k.a. simple random sampling (SRS) is a sampling technique of taking a subset of…

Q: The manager of a department store chain wishes to make four-digit identification cards for her…

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Q: A class contains 12 boys and 18 girls. The teacher calls on students at random to answer a question.…

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Q: Solve the three counting problems below. Then say why it makes sense that they all have the same…

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Q: Country Gold Silver Bronze Norway 12 1 9 Russia 10 3 USA 9 7 Canada 9 12 Denmark 8 7 Italy 18…

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Q: Jill is pulling names out of a hat in order to select students to complete her survey.  There are 9…

A: Jill is pulling names out a hat to complete a survey. The number of names in the hat is equal to 9…

Q: An Amazon merchant is selling baseball hats that come in 4 different colors: black, white, blue, and…

A: We need to use multinomial theorem to find total possible way to select 14 base ball bat

Q: d. Those that have exactly one of the boards. 2. Construct a table to display the data in number 1.

A: Here Given  No of Micro computer  with printer =N(P)=10 No of Micro computer with modem =N(M)=5  and…

Q: You roll a six-sided die 60 times and got the following tally: 20 ones, 20 twos, 15 threes, 3 fours,…

A: For a fair die, there are six equally likely outcomes, {1, 2, 3, 4, 5, 6}. That is, probability of…

Q: How many ways can you park cars in 5 parking spots if there are 15 cars to choose from? You may…

A: 15 cars can be parked in 5 parking spots in C515ways. So, the number of possibilities = C515= 3003…

Q: You roll a die three times and flip a coin twice. How many possible outcomes are there?

A: Total number of possible outcomes are = 6*6*6*2*2 = 864

Q: “ You are dealt five cards from a standard deck of 52 cards. How many of these hands have at least…

A: You are taking 5 cards from a pack of 52 cards. you have to determine the number of possible cases…

Q: You are dealt five cards from a standard deck 52 cards. How many of these hands have at least one…

A: Total number of cards is 52. The number of cards dealt is 5 cards.

Q: Seven women and nine men are on the faculty in the mathematics department at a school. How many ways…

A: We use various combination to find out  the number of ways we can select a committee.

Q: Mary Ann, Hazel, and Analyn want to know what numbers can be assigned for the frequency of heads…

A: Tossing three coins Sample space are HHH , HHT , HTH , HTT , THH , THT , TTH , TTT

Q: Dan has a novel to read. He reads of the pages on each of Monday and Tuesday, 65 pages on Wednesday,…

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Q: 3. A shop sells five different icecreams. A child is allowed to buy three scoops of icecreams. How…

A: Given  A shop sells the type of icecream=5 different icecream A child is allowed to buy of icecream…

Q: Tyler was given the following counting problem to solve: “ You are dealt five cards from a standard…

A: Given information: Total number of cards in the deck = 52 Number of spade in the deck = 13 Number of…