document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133749>Question 1133749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The computer science department of a college consists of 3 lecturers and 6 students.A study tour is to be arranged.In how many ways can a party of three be chosen so as to include at least one lecturer and one student? Show solution step by step<BR>\n" );
document.write( "126<BR>\n" );
document.write( "63<BR>\n" );
document.write( "54<BR>\n" );
document.write( "None </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751198 by </B><A HREF=/tutors/aboutme.mpl?userid=Shin123><B>Shin123(626)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Shin123><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Shin123><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The study tour <u>MUST</u> have a lecturer and a student.\r<BR>\n" );
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document.write( "Case 1: 1 lecturer and 2 students\r<BR>\n" );
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document.write( "3 choices for lecturer and (6*5)=30 choices for the students. 3*30=90.\r<BR>\n" );
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document.write( "Case 2: 2 lecturers and 1 student \r<BR>\n" );
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document.write( "(3*2)=6 choices for the lecturers and 6 choices for the student. 6*6=36 90+36= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28126%29 ALIGN=MIDDLE  ALT=\"highlight%28126%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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