). Let X be the set of the 26 lowercase English letters and 10 decimal digits. How any X-strings of length 15 satisfy all of the following properties (at the same time)? • The first and last symbols of the string are distinct digits (which may appear else- where in the string). • Precisely four of the symbols in the string are the letter ’t’. • Precisely three characters in the string are elements of the set V = {a, e, i, o,u} and these characters are all distinct.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 40WE
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10. Let X be the set of the 26 lowercase English letters and 10 decimal digits. How
many X-strings of length 15 satisfy all of the following properties (at the same time)?
• The first and last symbols of the string are distinct digits (which may appear else-
where in the string).
• Precisely four of the symbols in the string are the letter 't'.
Precisely three characters in the string are elements of the set V = {a, e, i, o, u}
and these characters are all distinct.
Transcribed Image Text:10. Let X be the set of the 26 lowercase English letters and 10 decimal digits. How many X-strings of length 15 satisfy all of the following properties (at the same time)? • The first and last symbols of the string are distinct digits (which may appear else- where in the string). • Precisely four of the symbols in the string are the letter 't'. Precisely three characters in the string are elements of the set V = {a, e, i, o, u} and these characters are all distinct.
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