Kelly has different books to arrange on a shelf; 4 blue, 3 green, and 2 red. Answer parts a through e below.(a) In how many ways can the books be arranged on a shelf?way(s)(Type a whole number.) (a) In how many ways can the books be arranged on a shelf?way(s)(ype a .le number.)(b) If books of the same color are to be grouped together, how many arrangements are possible?way(s)(Type a whole number.)(c) In how many distinguishable ways can the books be arranged if books of the same color are identical but need not be grouped together.way(s)(Type a whole number.)(d) In how many ways can you select 3 books, one of each color, if the order in which the books are selected does not matter.way(s)(Type a whole number.)(e) In how many ways can you select 3 books, one of each color, if the order in which the books are selected matters.way(s)(ype a whole number.)

Answered: Kelly has different books to arrange on…

Kelly has different books to arrange on a shelf, 4 blue, 3 green, and 2 red. Answer parts a through e below. (a) In how many ways can the books be arranged on a shelf? way(s) (Type a whole number.)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CT: Chapter Test

Problem 4CT: Over the past year, John has purchased 30 books. a In how many ways can he pick four of these books...

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

Kelly has different books to arrange on a shelf; 4 blue, 3 green, and 2 red. Answer parts a through e below.
(a) In how many ways can the books be arranged on a shelf?
way(s)
(Type a whole number.)

(a) In how many ways can the books be arranged on a shelf?
way(s)
(ype a .le number.)
(b) If books of the same color are to be grouped together, how many arrangements are possible?
way(s)
(Type a whole number.)
(c) In how many distinguishable ways can the books be arranged if books of the same color are identical but need not be grouped together.
way(s)
(Type a whole number.)
(d) In how many ways can you select 3 books, one of each color, if the order in which the books are selected does not matter.
way(s)
(Type a whole number.)
(e) In how many ways can you select 3 books, one of each color, if the order in which the books are selected matters.
way(s)
(ype a whole number.)

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