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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 (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 69E: In how many ways can 10 teenagers be seated at a round table if 2 girls wish to sit with their...
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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?
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