These are counting problems. If you use a tree diagram, that is sufficient explanation by itself. However, for othermethods of counting you will need to give some explanation to justify your answer.2. How many ways can A, B, C, and D be arranged if B cannot occur before A, and C cannot be last?

To find: The number of ways A,B,C,D can be arranged if B cannot occur before A and C cannot be last.

Answered: How many ways can A, B, C, and D be…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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9. A, B, C, and D are going to ride in A's carto go to the mall. But only A and C knowhow to drive and D does not want to sit in the front. How many ways can the four sit on the car if the car has two front seats and two back seats.
In a group of friends going to the cinema we count 8 men, 7 women and 10 children. They wish to sit in the same row. However, the children insist to be mixed NOT with the adults and stay grouped. In how many ways can we arrange the group of friends in one single row? O a. 15!10! O b. 16!10! Oc. 16! O d. None
Suppose you are dealt a 5-card poker hand and your first 2 cards are both twos. How many ways are there to complete your hand such that you end up with no better than a 3 of-a-kind?
A student works in a bookstore where he is required to work at least four and at most five days a week, at least one of which has to be a weekend day (Saturday or Sunday). How many different weekly work schedules can this student have?
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
At a elementary school graduation party 4 girls, 2 boys, and 1 teacher have to be arranged in a row. In how many ways can this be done if: (a) they can be arranged in any order? Answer: (b) the boys must be together and the girls must be together? Answer: (c) the boys must be together but the others can be arranged in any order? Answer:
A company is organizing a team-building event with various activities. There are 12 employees attending the event, and they need to be split into three teams: Team A, Team B, and Team C. Each team should have at least 2 members but no more than 6 members. In how many different ways can the teams be formed? (Note: The order of the teams doesn't matter; i.e., Team A, Team B, and Team C is the same as Team C, Team A, and Team B.)
Mrs. Smith has 6 activity tables she wants to line up side by side in her classroom. (a) In how many ways can she arrange all 6 tables? Show your work.(b) If she only wants to have 4 of the tables set up, in how many ways can she choose the tables shewishes to have set up? Show your work. Answer:
Suppose there are 6 girls and 6 boys in a class. In how many ways can you arrange these children in a row if two of the girts are frends and mut st ret ah other?
2. The college's soccer team will play II games next fall. Each game can result in one of three outcomes: a win, a loss, or a tie. Find the total possible number of outcomes for the season record.
Five electrical engineering books, seven electronics engineering books, and eight civil engineering books are to be arranged in a shelf. In how many ways can you arrange all the books in a row? b. In how many ways can you arrange the books in a row in such a way that books for each engineering major are always adjacent to one another. а.

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