Problem 4 {\bf Solve the following problems:} |begin{enumerate}[label=(\alph")] \item How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25 employees? %Enter your answer below this comment line. \ item A state's license plate has 7 characters. Each character can be a capital letter (A – Z), or a non-zero digit (1 – 9). How many license plates start with 3 capital letters and end with 4 digits with no letter or digit repeated? %Enter your answer below this comment line. \ item How many binary strings of length 5 have at least 2 adjacent bits that are the same (00" or `11l") somewhere in the string? %Enter your answer below this comment line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 13E
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Problem 4
{\bf Solve the following problems:}
|begin{enumerate}[label=(\alph")]
\item How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his
25 employees?
%Enter your answer below this comment line.
\ item A state's license plate has 7 characters. Each character can be a capital letter (A – Z), or a non-zero
digit (1 – 9). How many license plates start with 3 capital letters and end with 4 digits with no letter or digit
repeated?
%Enter your answer below this comment line.
\ item How many binary strings of length 5 have at least 2 adjacent bits that are the same (00" or `11l")
somewhere in the string?
%Enter your answer below this comment line.
Transcribed Image Text:Problem 4 {\bf Solve the following problems:} |begin{enumerate}[label=(\alph")] \item How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25 employees? %Enter your answer below this comment line. \ item A state's license plate has 7 characters. Each character can be a capital letter (A – Z), or a non-zero digit (1 – 9). How many license plates start with 3 capital letters and end with 4 digits with no letter or digit repeated? %Enter your answer below this comment line. \ item How many binary strings of length 5 have at least 2 adjacent bits that are the same (00" or `11l") somewhere in the string? %Enter your answer below this comment line.
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