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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Similar questions

We have a deck of 52 playing cards. We pick 2 cards from the deck. We require that we pick at least one diamond. That is, among the two cards we picked, at least one of the two cards must be a diamond. In how many ways can we do this?
How many ways can a baseball line up of 9 players be arrange to hit if the pitcher must bat last, one of the best 4 contact hitters must hit lead-off, and one of two power hitters must bat fourth?
In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that those of the same species sit together?
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.
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?
Q4. A group of students: Saif, Al Mohanned, Abdullah, Rihab, Shahad, Manar, Thuwaiba, Lamees, and Taqwa walk into a class room which has a table with only 6 chairs. In how many ways can they be seated on the available chairs if order is important.
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 bag contains five red marbles, three green ones, one lavender one, three yellows, and two orange marbles. HINT [See Example 7.] How many sets of four marbles include none of the red ones?
Say the football team F, the basketball team B, and the track team T, decide to form a varsity club V. How many members will V have if n(F)=25, n(B)=12, n(T)=30, and no person belongs to at least two teams?
Twelve officers of an organization are to be divided into committees. In how many ways can the officers be divided into three committees composed of six, four, and two members, respectively? O 12 C6 +12 C4 +12 C2 O 12 C6 *12 C4 *12 C2 O (12)(4)(2) 12 6 4 2,
Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can you do this?

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