Suppose you have 45 books (10 history books, 25 novels and 10 math books). Assume that all 45 books are different. Answer the following questions in factorial notation, permutation or combination notation. a) In how many ways can you get a bunch of five history books and five novels to give to a friend? b) In how many ways can you put the 45 books in a row on a shelf if the 10 math books are to be grouped together, but there are no restrictions on the placement of the other books? c) What is the probability that a bunch of 4 books selected at random includes at least 2 novels given that the bunch of selected books includes NO math books?
Suppose you have 45 books (10 history books, 25 novels and 10 math books). Assume that all 45 books are different. Answer the following questions in factorial notation, permutation or combination notation. a) In how many ways can you get a bunch of five history books and five novels to give to a friend? b) In how many ways can you put the 45 books in a row on a shelf if the 10 math books are to be grouped together, but there are no restrictions on the placement of the other books? c) What is the probability that a bunch of 4 books selected at random includes at least 2 novels given that the bunch of selected books includes NO math books?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 18E
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Transcribed Image Text:Suppose you have 45 books (10 history books, 25 novels and 10 math books). Assume that all 45 books are different. Answer the following
questions in factorial notation, permutation or combination notation.
a) In how many ways can you get a bunch of five history books and five novels to give to a friend?
b) In how many ways can you put the 45 books in a row on a shelf if the 10 math books are to be grouped together, but there are no
restrictions on the placement of the other books?
C) What is the probability that a bunch of 4 books selected at random includes at least 2 novels given that the bunch of selected books
includes NO math books ?
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