A programming language was designed in such a way that all are of length exactly six and is built out of only lowercase he English language. The compiler designer wants to know umber of variable names such that i) the letter h appears in the variable name? i) both letters h and i appear in the variable name? i onnear side by side with the condition

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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e) A programming language was designed in such a way that all variable names
are of length exactly six and is built out of only lowercase alphabets from
the English language. The compiler designer wants to know the maximum
number of variable names such that
i) the letter h appears in the variable name?
ii) both letters h and i appear in the variable name?
iii) the letters h and i appear side by side with the condition that h appears
first. In this case assume that all six letters are distinct in the variable
name.
Transcribed Image Text:e) A programming language was designed in such a way that all variable names are of length exactly six and is built out of only lowercase alphabets from the English language. The compiler designer wants to know the maximum number of variable names such that i) the letter h appears in the variable name? ii) both letters h and i appear in the variable name? iii) the letters h and i appear side by side with the condition that h appears first. In this case assume that all six letters are distinct in the variable name.
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