Consider the following finite-state automaton. avery drew kim saw jamie 92 93 daryl kyle 94 with parker riley quincy and cory jordan 95 96 97 shane How many strings are in the language defined by the FSA? 3 15 O 27 81 Infinitely many

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Consider the following finite-state automaton.
avery
drew
kim
saw
jаmie
91
92
93
daryl
kyle
94
with
parker
quincy
riley
and
cory
jordan
95
96
97
shane
How many strings are in the language defined by the FSA?
01
27
O 81
Infinitely many
15
Transcribed Image Text:Consider the following finite-state automaton. avery drew kim saw jаmie 91 92 93 daryl kyle 94 with parker quincy riley and cory jordan 95 96 97 shane How many strings are in the language defined by the FSA? 01 27 O 81 Infinitely many 15
Expert Solution
introduction to principal of counting

THE ADDITION THEOREM

 In Addition, theorem, if one event can occur in 'x' ways and a second event with no common outcomes can occur in 'y' ways, then the first or second event can occur in \displaystyle m+nx ways.

Eg:

Computer Science homework question answer, step 1, image 1

 

 THE MULTIPLICATION THEOREM

In the Multiplication theorem, if one event can occur 'a' ways and a second event can occur in \displaystyle n'b' ways after the first event has occurred, then the two events can occur in \displaystyle m\times na way. 

Computer Science homework question answer, step 1, image 2

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