document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=228739>Question 228739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a class of 30 students is assigned to write essay. 1) Suppose 4 essays are randomly chosen to appear on the class bulletin board. How many different groups of 4 are possible? I said 4/30*3/29*2/28*1/27= 24/657720=3/82,215 I think.<BR>\n" );
document.write( "2) Suppose 4 essays are randomly chosen for awards of $10,$7,$5 and $3. How many different groups of 4 are possible? 24 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169735 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=169735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) 30 C 4 = (30!)/(4!(30-4)!) = 30!/(4!26!) = (30*29*28*27)/(4*3*2*1) = 27,405\r<BR>\n" );
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document.write( "Answer: 27,405 different groups\r<BR>\n" );
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document.write( "2) 4 P 4 = 4!/(4-4)! = 4!/0! = 4!/1 = 4! = 4*3*2*1 = 24\r<BR>\n" );
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document.write( "Answer: 24 different groups </SPAN>\n" );
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