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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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Chapter
Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

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

1 7 - 3 6 Fundamental Counting Principle These exercises involve the Fundamental Counting Principle.

Three-Letter Words How many three-letter “words” (strings of letters) can be formed by using the 26 letters of alphabet if repetition of letters

(a) is allowed?

(b) is not allowed?

To determine

(a)

To find:

The number of three letter words that can be formed using 26 letters of alphabet if repetition of letters is allowed.

Explanation

Given:

There are 26 letters of the alphabet.

Approach:

Fundamental Counting Principle: If two events E1 and E2 occur in order and E1 occur in m ways and E2 occur in n ways, then the two events can occur in order in m×n ways.

Calculation:

There are three selection stages.

26 26
To determine

(b)

To find:

The number of three letter words that can be formed using 26 letters of alphabet if repetition of letters is not allowed.

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Chapter 14 Solutions

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