). 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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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