   Chapter 9.5, Problem 21ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# In Morse code, symbols are represented by variable-length sequences of dots and dashes. (For example, A=,-,1=,----,?=,---,.) How many different symbols can be representd by sequences of seven or fewer dots and dashes?

To determine

To find the number of different symbols can be represented by sequences of seven or fewer dots and dashes.

Explanation

Given information:

Let us consider the Morse code, in wtiich symbols are represented by variable-length sequences

of dots and dashes.

Let us consider the case of 1 symbol (either dash or dot).

Total patterns from with 1 symbol is 2 (and )

Concept used:

(nr)=n!r!nr!

Calculation:

Let us consider the case of 2 symbols (either dash or dot)

Possible patterns in this case are ,,,and

Total patterns from with 2 symbol is 22=4

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