King Arthur has 8 members of the round table sat for today’s meeting. How many arrangements of where the knights can be sat would there be in each of the following scenarios: Arthur must have Lancelot sat on one side of him and Galahad and Gawain are refusing to sit next to each other.

King Arthur has 8 members of the round table sat for today’s meeting. How many arrangements of where the knights can be sat would there be in each of the following scenarios: Arthur must have Lancelot sat on one side of him and Galahad and Gawain are refusing to sit next to each other.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

See similar textbooks

Related questions

Q: Macmillan Learning Research has shown that specific biochemical markers are found exclusively in the…

A: Here the concept of conditional probability to obtain the sensitivity of a diagnostic test is…

Q: 21. If P(A)=1/4, P(B) =2/5 and P(AUB)=1/2 find P(AU B°), where A and B are two non mutually…

Q: Define the sample space using set notation. Define the event of landing on 800 or more using set…

A: 1.A spinner wheel is given with several prize amounts mentioned on it.

Q: Problem 4. Let X have density f(x) = cx²(1-x)² for 0≤ x ≤ 1, and f(x) = 0 elsewhere. (1) Find c. (2)…

A: 1) c= 302) E(X) = 1/23) V(X) = 1/28 Explanation:

Q: A certain type of device has an advertised failure rate of 0.0125 per hour. The failure rate is…

A: Given,A certain type of device has an advertised failure rate of 0.0125 per hour. That is, 0.0125…

Q: A variable X has a probability function f(x, 0) = 0e 0x; x≥0 y >0. The parameter 0 is estimated…

A: The given probability distribution of random variable X is exponential distribution.So in that…

Q: 3.4.5 A coin is tossed repeatedly until either two successive heads appear or two suc- cessive tails…

Q: Given a random sample of size 22 from a normal distribution, find k such that (a) P(-1.721…

A: Probability is the chance that an unsure event will occur with this probability. Basically, the…

Q: For a chi-squared distribution, find X 0.025 when v = 17. Click here to view page 1 of the table of…

A: We need to find the critical value of chi-square distribution for level of significance, and…

Q: P(X > 4), n=6,p=0.8

A: Let X be the discrete random variable.Given that,The PMF of X=x is,

Q: A research report claims that mice with an average life span of 32 months will live to be about 40…

A: From the provided information,

Q: Please help I will give a good rating 1) What does it mean for a deck to get "heavy" in blackjack ?…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Compute the bigram count table, C(w2|w1) for the following: "A skunk sat on a stump. The stump thunk…

A: Bigram count tables are used in natural language processing to analyze the frequency of word…

Q: Let f(x) be the probability density function graphed below on the interval 0 ≤40 and assume that…

A: To find the value of k, we'll use the fact that the area under a curve must equal 1. Given that…

Q: B For the given joint PDF, find: (a) E(Y), (b) E(XY), (c) Cov(X, Y), (d) P(X >6,Y < 1.5). I f(x,y) 2…

A: The objective of the question is to find the expected values, covariance and probability for the…

Q: A machine shop has a credit card that offers rebates on purchases. At the end of May, the company…

A: The objective of this question is to determine the minimum monthly payment for May based on the…

Q: 1. Consider a path of one N (μ, σ2) simple random samples of size n; and two estimators of the…

Q: Your group can choose to play one of two games. Each game cost one dollar to play.Game one: a will…

A: The objective of this question is to calculate the expected value of the game. The expected value is…

Q: Let X and Y be two events such that P(X)=0.5,P(Y)=m, and P(X∪Y)=0.8. Find the value of m for which X…

Q: A no-load mutual fund specializing in health care stocks has a portfolio of stocks with a market…

A: The objective of this question is to calculate the net asset value (NAV) per share of a mutual fund.…

Q: 8.How many 2 digit even number can be formed from the digit 1,2,3,4,5 if the digits can't be…

Q: Don't use chatgpt

A: The objective of this question is to find the probability of a defective item getting through two…

Q: Company XYZ know that replacement times for the quartz time pieces it produces are normally…

A: Mean()=11.5standard deviation()=1.2

Q: 1. Consider a Markov chain X matrix = (Xn)n≥0 with state space S [0.2 0.4 0 0.4 0.3 0 0.7 0 0.5 0…

A: The image shows a problem statement and a transition matrix for a Markov chain with state space {1,…

Q: 5. A botanist studied the effect of a new fertilizer by choosing 100 orchids and giving 70% of these…

A: The question is about conditional probability.Given :Total number of orchids = 100Proportion of…

Q: A random sample of size 81 is taken from a normal population having a mean of 85 and a standard…

Q: The random variable X, representing the number of cherries in a cherry puff, has the probability…

A: x2345P(X=x)0.10.40.30.2

Q: A survey is planned to compare salaries of plant managers in two regions. The plan is to take a…

A: Given ,$4000having a width of onlyA 95% confidence interval on having a width of only $10000And ,…

Q: According to the CGMA Economic Index, which measures executive sentiment across the world, 18% of…

A: The question is about probability.Given :Proportion of all respondents optimistic(O) about the…

Q: (a) Find the conditional PMF of (W | 2 ≤ W ≤ 6), where W ∼ Geometric(p = 1/2).(b) Find the expected…

A: The objective of the question is to find the conditional probability mass function (PMF) of a random…

Q: show working out please. just show the important working outs

A: 1) probability that the selected car is Silver car from Germany=0.053 2) probability that the…

Q: Headache No Headache 10 mg Atorvastatin Placebo 15 65 17 3 Use the above table to find the…

A: The randomly selected subjectsThe given table is,10 mg AtorvastatinPlaceboHeadache1565No Headache173

Q: A fair 12-sided die is rolled; let D be the number that comes up. Let D mod 5 denote theremainder…

A: The objective of this question is to find the expected value of the remainder when the number rolled…

Q: In a random sample of 392 people that were tested for the Norcovirus, it was found that 314 did not…

A: The objective of this question is to understand the meaning of the given 97% confidence interval for…

Q: Hello, can you please give me full detail on how to work this? CAn you provide excel / calculator…

A: a. H0:p=0.52 H1:p=0.52b. Test statistic = -2.9667c. p-value = 0.0030d. Based on the above we…

Q: A between-subjects design can also be referred to as a (an). . . a) independent - dependent samples…

A: It is needed to define another name for a between-subjects design.

Q: A marketing expert for a pasta-making company believes that 50% of pasta lovers prefer lasagna. If…

A: The objective of this question is to test the claim of the marketing expert that 50% of pasta lovers…

Q: A poker player holds a nush when all five cards in the hand

A: A flush means a hand containing five cards of the same suit. The aim is to draw five cards in a row…

Q: If P(A) = 0.8,P(B)=0.5 and P(BIA) = 0.4, find (i) P(ANB) (ii) P(A|B)

Q: The heights of 1000 students are approximately normally distributed with a mean of 175.2 centimeters…

Q: 7) In how many ways the letters of the word "BANKER" can be arranged that vowels are always…

A: The letters of the word BANKER can be arranged.

Q: A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan…

A: The objective of this question is to find the probability that a shipment of aspirin tablets will be…

Q: A manufacturer of light-emitting diode (LED) lights has tested its lights and found that the percent…

A: ( a ) 63.0 % ( b ) 69657 hrs = 70000 hrs ..... ( Nearest thousands )Explanation:The percentage…

Q: A bag of M&Ms has the following number of candies: Blue: 14 Red: 18 Orange: 9 Green: 6 Yellow: 5…

A: The objective of this question is to create a probability distribution for drawing a single candy…

Q: You were told that the mean score on a statistics exam is 75 with the scores normally distributed.…

A: It is given that, the mean score on a statistics exam is 75.The probability of a score between 55…

Q: Consider two weighted voting systems: System A (50 players) and System B (48 players). The number of…

A: Given , System A = 50 players.system B = 48 players.We have to find the number of sequential…

Q: The heights of 500 students are normally distributed with a mean of 162.5 centimeters and a standard…

Q: A manufacturer of clothing knows that the probability of a snap flaw is 0.002 An inspector examines…

A: The objective of this question is to find the probability that an inspector finds no snap flaws in…

Q: A bond with a $3,000 par value has a 5.6% coupon and a 7-year maturity date. Calculate the total of…

A: The objective of this question is to calculate the total interest payments made to the bondholder…

Q: Out of of a sample of 500 families, 205 had children under the age of 18 living in the home. Based…

A: 95% confidence interval for true population: 0.3669 < p < 0.4531Explanation:

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Discussing the question statement

VIEW

Step 2: Finding the total possible numbers

VIEW

Solution

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Over the past year, John has purchased 30 books. In how many ways can he pick four of these books and arrange them, in order, on his nightstand bookshelf? In how many ways can he choose four of these books to take with him on his vacation at the shore?
In a group of 20 musicians, 12 play piano, 7 play trumpet, and 2 play both piano and trumpet. How many musicians play either piano or trumpet?
At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the varsity football team, and 7 of these players are on both teams. How many different individual players are on the two varsity teams?
A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert and a drink. If there are four main courses, three desserts, and six drinks to pick from, in how many ways can a customer select a meal consisting of one choice from each category?
A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums. Each small arrangement contains one rose, three daisies, and three chrysanthemums. Each medium arrangement contains two roses, four daisies, and six chrysanthemums. Each large arrangement contains four roses, eight daisies, and six chrysanthemums. One day, the florist noted that she used a total of 24 roses, 50 daisies, and 48 chrysanthemums in filling orders for these three types of arrangements. How many arrangements of each type did she make?
A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?