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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

5 3 - 5 6 Distinguishable Permutations These exercises involve distinguishable permutations.

Arranging Letters In how many different ways can the letters of the word ELEEMOSYNARY be arranged?

To determine

To find:

The number of different ways in which the letters of the word ELEEMOSYNARY can be arranged in a row.

Explanation

Given:

The word is ELEEMOSYNARY.

Approach:

Distinguishable Permutations: If a set of p items consists of k different kind of items with p1 items of the first kind, p2 items of the second kind, and so on as p1+p2+...+pk=p, then the number of distinguishable permutations of these items is,

p!p1!p2!...pk!(1)

Calculation:

The total letters of the word is 12.

Letters “E” and “Y” are repeated 3 and 2 times respectively, whereas other words has no repetition

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Chapter 14 Solutions

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