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<html><title>Country Songs (a set-based story problem)</title>
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<bgsound src="chtnhrt.mid" loop="infinite">
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<form name="test" action=" " method=POST>
<p align=center><img src="country2.gif"></p>
<center>
<font face="arial" size="+1" color="8000ff">
COUNTRY AND WESTERN SONGS</font><br>
<font face="arial" size="-1">
(For use with Tan, section 6.2)
</center>
<P>
28 country and western songs played on a local radio station were surveyed
as to content, regarding the themes of LOVE, TRUCKERS, and PRISON, with the
following results:
<hr>
<P>
2 songs were about an imprisoned trucker who was in love<br>
<center> (i.e., 2 songs involved all 3 themes) </center>
7 songs were about truckers who were in love<br>
9 songs were about lovers not in prison<br>
<center> (i.e., 9 songs involved the theme of love but not the theme of prison
</center>
11 songs were about truckers not in prison<br>
22 songs were not about prison
<center> (i.e., 22 songs did not involve the theme of prison)
</center>
16 songs were about truckers<br>
16 songs were not about love
<hr>
<P>
<table><td valign=top><font face="arial" size="-1">
As in the Venn diagram below,</font></td>
<td><font face="arial" size="-1">
let T be the set of songs about truckers<br>
let L be the set of songs about love<br>
let P be the set of songs about prison</font></td>
</table>
<a name="question"></a>
<P>
You must first put numbers in each of the 8 compartments of this Venn
diagram so as to interpret the numerical information given in the problem
above. When you are ready to enter these numbers,
<center>
<table><td valign="center"><font face="arial" size="-1">click here<b>:</b></font></td>
<td><img src="country6.gif"><a href="country2.htm"><img src="stepnext.gif"></a></td>
<td valign="center"><font face="arial" size="-1"><img src="country6.gif">
Return later for the questions below.</font></td>
</table>
</center>
<P>
(a) Find the number of songs about prison.
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<P>
(b) Find the number of songs about truckers who were not in love.
<input type="text" name="inputbox2" size="3"><input type="button" value="check?" onClick="runSubmit2(this.form, this)"></>
<P>
(c) Find the number of songs which were NOT about truckers.
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<p>
<center>
<table cellspacing=0>
<td align=center><img src="country1.gif"></td>
</table>
</center>
<P>
<table><td>
<a href="143.htm#start"><img border=0 src="return43.gif"></a></td>
<td> </td>
<td>
<a href="http://www.uww.edu"><img border=0 src="uww.gif"></a></td>
<td valign=middle><table border=1><td align=center><font face="arial" size="-2" color=brown>
This page last updated<br>
2 June 1998</font></td>
</table></td>
</table>
</font>
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