Solve each problem. Show complete solutions. 1. In how many ways can 3 boys and 4 girls sit in a row if a, they are to sit alternately? b. the boys and girls are to sit together?
Solve each problem. Show complete solutions. 1. In how many ways can 3 boys and 4 girls sit in a row if a, they are to sit alternately? b. the boys and girls are to sit together?
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...
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Answer number 1-10 pls. I don't want to waste my money here.
![Solve each problem. Show complete solutions.
1. In how many ways can 3 boys and 4 girls sit in a row if
a. they are to sit alternately?
b. the boys and girls are to sit together?
2. How many ways can 10 books be arranged in a shelf if one of them is a bible and it must be
placed on the rightmost end?
3. There are 7 finalists for a Mathematics contest, and medals will be given to the top 3
finalists. How many ways are there for the medal winners to be selected?
4. A photographer is taking a picture of a bride and a groom, together with six sponsors. How
many ways can he arrange the eight people in a row if the bride and groom are to always
stand in the middle.
5. In how many ways can 4 red flags, 5 blue flags and 1 orange flag be placed in 10 flagpoles?
6. In how many ways be 5 couples be seated in a round table if each couple consists of a man
and a woman and that the men and women are to sit together?
7. A group of 5 volunteer marshals will be assigned to maintain order during a basketball
game. If there are 10 volunteer marshals, in how many ways can the group be formed?
8. There are 5 points on a plane, no three of which are collinear. How many different lines can
be formed?
9. A committee of senior and junior executives will be formed to decide on recruitment
issues. If there 5 senior and 10 junior executives in the company, in how many ways can a 5-
member committee be formed if:
a. there should be at least 1 or at most 2 senior executives?
b. there are at least 3 junior executives?
10. In how many ways can the letters of the word SESSIONS be arranged in a circular logo?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8cb20ee1-50bf-4515-9f63-b91dfe61428d%2Fe476a348-6078-4564-8eb8-f13ee070474b%2Fdgvezpq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve each problem. Show complete solutions.
1. In how many ways can 3 boys and 4 girls sit in a row if
a. they are to sit alternately?
b. the boys and girls are to sit together?
2. How many ways can 10 books be arranged in a shelf if one of them is a bible and it must be
placed on the rightmost end?
3. There are 7 finalists for a Mathematics contest, and medals will be given to the top 3
finalists. How many ways are there for the medal winners to be selected?
4. A photographer is taking a picture of a bride and a groom, together with six sponsors. How
many ways can he arrange the eight people in a row if the bride and groom are to always
stand in the middle.
5. In how many ways can 4 red flags, 5 blue flags and 1 orange flag be placed in 10 flagpoles?
6. In how many ways be 5 couples be seated in a round table if each couple consists of a man
and a woman and that the men and women are to sit together?
7. A group of 5 volunteer marshals will be assigned to maintain order during a basketball
game. If there are 10 volunteer marshals, in how many ways can the group be formed?
8. There are 5 points on a plane, no three of which are collinear. How many different lines can
be formed?
9. A committee of senior and junior executives will be formed to decide on recruitment
issues. If there 5 senior and 10 junior executives in the company, in how many ways can a 5-
member committee be formed if:
a. there should be at least 1 or at most 2 senior executives?
b. there are at least 3 junior executives?
10. In how many ways can the letters of the word SESSIONS be arranged in a circular logo?
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