13) Consider the checkerboard arrangement shown below. Assume that the red checker can move diagonallyupward, one square at a time, on the white squares. It may not enter a square if occupied by another checker, butmay jump over it. How many routes are there for the red checker to the top of the board?

Answered: Image /qna-images/answer/68b54f23-198c-4f19-b663-3d8633a7432b.jpg

Answered: 13) Consider the checkerboard…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Matrices And Determinants

Section7.5: Applications Of Matrices And Determinants

Problem 3ECP

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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?
How do you decide which pattern to use?
A checker is placed in the bottom row of a checker board as shown below. It can move diagonally upward. The checker cannot enter the square with an X, but can jump over it. How many paths are there to the top of the board?
Consider a square (see below). In the center of the square lives Jes. His friends (four of them: Abe (A), Bagen(B), Calvin (C) and Danny (D)) each live at one of the four corners of the squares. Jes decides to visit a friend.His choice is random and he is equally likely to visit any one of them first. Once at a friends house, he will either return home or else proceed to visit one of the nearest two adjacent friends. That is, if Jes is at D, then, he willeither return home or visit A or C, and the probability of each of the possibilities is the same. Following this pattern, Jes, continues to visit friends. Let X be the number of times Jes visits a friend (that is, the number of visits to friends).(a) What is the pmf of X?(b) What is the expected value of X?(c) If we define a new random variable Y to be the number of straight line segments that Jes traverses, including those leading home. What is the pmf of Y ?
B 3.
Please provide full explanations and show all work.
Let C = {1, 2, 3, 4} and D = {8}.
Suppose that a popular style of running shoe is available for men and women. The women’s shoe comes in sizes 5, 6, 7, 8, 9, and 10 and the men’s shoe comes in sizes 8, 9, 10, 11, and 12. The Women’s shoe comes in white, red and black. The men’s shoe comes in white and black. Determine the number of different shoes that a store has to stock to have at least one pair of this type of running shoe for all available sizes and colors for both men and women.
6. When bees play chess, they use a hexagonal board like the one shown below. The queen bee can move one space at a time either directly to the right or angled up-right or down-right (but can never move leftwards). How many different paths can the queen take from the top left hexagon to the bottom right hexagon? Explain your answer, and this relates to the previous question. (As an example, there are three paths to get to the second hexagon on the bottom row.) start 3 Figure 1: Bee Chess stop
6. When bees play chess, they use a hexagonal board like the one shown below. The queen bee can move one space at a time either directly to the right or angled up-right or down-right (but can never move leftwards). How many different paths can the queen take from the top left hexagon to the bottom right hexagon? Explain your answer, and this relates to the previous question. (As an example, there are three paths to get to the second hexagon on the bottom row.) ntart wtop
Milanbhai
C(11,8)=

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