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\author{Teschl Gerald}
\title{Quiz 6}
\date{11 Sep. 1995}

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\hfill {\bf Name}: $\ul{\hspace*{5cm}}$\\[2mm]
\hspace*{2mm}\hfill {\bf ID \#}: $\ul{\hspace*{5cm}}$\\[5mm]

{\Huge Quiz 6}\\[5mm]


\noindent 1) Let 
\beas
A &=& \{ 1,2,3 \}\\
B &=& \{x|x \mbox{ is a letter in the word ``television''}\}\\
C &=& \{x|x \mbox{ is a vowel}\}\\
D &=& \{x|x \mbox{ is a vowel in the word ``blue''}\}
\eeas
List the sets $D$ and $A\cup(B\cap C)$. Is
$D\subset(A\cup(B\cap C))$?~\hfill(1pts)\\[3cm]
2) Draw the Venn diagram representing the following information:\\
$n(A\cap B\cap C)=1$, $n(A\cap B)=4$, $n(A\cap C)=3$, $n(B\cup C)=17$,\\
$n(A)=12$, $n(B)=11$, $n(C)=9$, $n(C')= 31$.~\hfill(3pts)\\[4cm]
3) How many different three letter "words" can be formed out of the letters
of the word ``scholar'' without using a letter more than once?
(Consider any combination of letters a word.)~\hfill(2pts)\\[1cm]
4) Of 100 students surveyed, 20 owned a cat, 12 a dog and 5 both. How many owned
one or the other but not both?~\hfill(2pts)\\[1cm]
5) A committee of 6 persons elects a chair, a vice chair, and a secretary. In how
many ways can this be done?~\hfill(2pts)
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