Kelly has different books to arrange on a​ shelf; 4 ​blue, 2 ​green, and 3red. Answer parts a through e below. ​(a) In how many ways can the books be arranged on a​ shelf?     ​(b) If books of the same color are to be grouped​ together, how many arrangements are​ possible?   ​(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.

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A: Please refer to the image below

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Q: Suppose we want to choose 6 letters, without replacement, from 13 distinct letters. (If necessary,…

A: Giventotal no.of distinct letters(n) = 13no.of letters to be choosen(r)= 6

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Q: a) How many possible arrangements of the word mathpower  can be formed?  b) How many of these…

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Q: An instructor gives an exam with seventeen questions. Students are allowed to choose any twelve to…

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Q: A. How many arrangements of all letters can be made from the word COPROCESSORS

A: The given word is COPROCESSORS"

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Q: How many different arrangements of the word PARRAMATTA are possible?

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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.