5. Suppose you invent a new programming language. You allow variables to be created that are of at least three characters, but no more than five characters in length. The characters can be capital or lowercase letters, numerical digits, or one of the special characters in the set {!, ?, , &, #, %}. The first character in a variable cannot be a special character. a.) How many variables, in total, can be created in this programming language? (If you prefer, you can leave your answer as an expression rather than as a single number. For 3 ( 54 ) 3 would be acceptable in place of the evaluation of this example expression, which would be 472,392.) b.) Recompute your answer, but now assume that characters cannot be repeated. Assume, still, that the first character cannot be one of the special characters.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5. Suppose you invent a new programming language. You allow variables to be created
that are of at least three characters, but no more than five characters in length. The
characters can be capital or lowercase letters, numerical digits, or one of the special
characters in the set {!, ?, , &, #, %}. The first character in a variable cannot be a
special character.
a.) How many variables, in total, can be created in this programming language? (If you
prefer, you can leave your answer as an expression rather than as a single number. For
3 ( 54 ) 3 would be acceptable in place of the evaluation of this
example
expression, which would be 472,392.)
b.) Recompute your answer, but now assume that characters cannot be repeated.
Assume, still, that the first character cannot be one of the special characters.
Transcribed Image Text:5. Suppose you invent a new programming language. You allow variables to be created that are of at least three characters, but no more than five characters in length. The characters can be capital or lowercase letters, numerical digits, or one of the special characters in the set {!, ?, , &, #, %}. The first character in a variable cannot be a special character. a.) How many variables, in total, can be created in this programming language? (If you prefer, you can leave your answer as an expression rather than as a single number. For 3 ( 54 ) 3 would be acceptable in place of the evaluation of this example expression, which would be 472,392.) b.) Recompute your answer, but now assume that characters cannot be repeated. Assume, still, that the first character cannot be one of the special characters.
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