Homework Help is Here – Start Your Trial Now!
Math
Algebra
Permutation and Combinations 1) A shelf holds 2 English books, 3 History books and 4 Math books. in how many ways can you arrange these 9 books if books of the same kind are together?

Permutation and Combinations 1) A shelf holds 2 English books, 3 History books and 4 Math books. in how many ways can you arrange these 9 books if books of the same kind are together?

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
See similar textbooks
icon
Related questions
Question

Permutation and Combinations

Permutation and Combinations 1) A shelf holds 2 English books, 3 History books and 4 Math books. in how many ways can you arrange these 9 books if books of the same kind are together? 2) How many ways can you answer a 5-item multiple choice test if there are 4 choices for each item? 3) In how many different ways can seven people be seated a) in a row if two people refuse to sit next to each other? b) in a circle if two people refuse to sit next to each other? 4) Solve for n: a) „P2 = 56 b) nC3 = nP2 5) A grocery store has five checkout counters, and seven clerks. How many different ways can the clerks be assigned to the counters? 6) Three marbles are chosen from a box that contains 5 Red, 3 White and 2 Blue marbles. How many different samples of the indicated type are possible? a) All three are red b) Two blue and one white c)One of each color d) None are red 7) How many permutations of the letters are there in the word LILLYPILLY? 8) A club has 4 men, 5 women, 7 boys and 8 girls as members. In how many ways can a group of 2 men, 3 women, 4 boys and 4 girls be chosen?
Transcribed Image Text:Permutation and Combinations 1) A shelf holds 2 English books, 3 History books and 4 Math books. in how many ways can you arrange these 9 books if books of the same kind are together? 2) How many ways can you answer a 5-item multiple choice test if there are 4 choices for each item? 3) In how many different ways can seven people be seated a) in a row if two people refuse to sit next to each other? b) in a circle if two people refuse to sit next to each other? 4) Solve for n: a) „P2 = 56 b) nC3 = nP2 5) A grocery store has five checkout counters, and seven clerks. How many different ways can the clerks be assigned to the counters? 6) Three marbles are chosen from a box that contains 5 Red, 3 White and 2 Blue marbles. How many different samples of the indicated type are possible? a) All three are red b) Two blue and one white c)One of each color d) None are red 7) How many permutations of the letters are there in the word LILLYPILLY? 8) A club has 4 men, 5 women, 7 boys and 8 girls as members. In how many ways can a group of 2 men, 3 women, 4 boys and 4 girls be chosen?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS