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.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Carmine is creating a schedule for five key presenters who will be speaking to students on career day. They have hired a doctor, an engineer, a pilot, a lawyer, and an accountant. What is the number of possible arrangements if the engineer must speak after the lawyer?
A co-rec team to play in an intramural tournament of indoor soccer should consist of three men and three women. There are five men and ten women to join that team. Within the fifteen people there is a husband and wife. In how many ways can that team be selected if it must contain either the wife or the husband but not both?
There are four Olympians, Anne, Babaganoush, Carol, and David on the Canadian bobsledding team. As shown in the picture, all four members are needed to race at the same time. Only Babaganoush and Carol are qualified to be in the 1st position. Any member can fill the rest of the spots. a.Determine the number of possible arrangements of the team
A surgical procedure requires choosing among four alternative methodologies. The first can result in seven possible outcomes, the second can result in four possible outcomes, and the remaining methodologies can each result in three possible outcomes. What is the total number of outcomes possible?
A student planning her curriculum for the upcoming year must select one of three business courses, one of five mathematics courses, two of ten elective courses, and either one of four history courses or one of three social science courses. How many different curricula are available for her consideration? different curricula
Dr. Lawrence plays in a 10-team dynasty football league, where the top six teams make the playoffs. If only getting into the playoffs matters, how many 6-team playoff 4. scenarios can be made?
A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions? Select one: O a. 12750 O b. 11340 O c. 320 O d. 40
It’s the first day of summer camp, and the counselors are trying to figure out where one of the campers will sleep. There are four beds available in Cabin #1, five in Cabin #2, and just one in Cabin #3. How many ways in all are there to assign the camper to a bed?
At your local carnival, there is a game where 40 rubber duckies are floating in a kiddie tub, and they each have their bottoms painted one of three colors. 55 are painted pink, 16 are painted blue, and 19 are painted purple. If the player selects a duck with a pink bottom, they receive three pieces of candy. If they select blue, they receive two pieces of candy. And if they select purple, they receive one piece of candy. If the game is played 42 times, what are the minimum and maximum amounts of candy that could be handed out?
The University of Ballygobackwards has three colleges: the College of Science, which has 15 staff, 5 of whom are female; the College of Engineering, which has 8 staff, 4 of whom are female; and the College of Arts, which has 17 staff, 6 of whom are female. Each college has a Dean, who is chosen from the staff in that college. What is the total number of ways these three Deans can be chosen? Answer: How many ways can three Deans be chosen, so that at least one of them is female? Answer: