document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249375>Question 249375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one professor grades homework by randomly choosing 5 out of 15 homework problems to grade. How many different groups of 5 problems can be choosen from the 15 problems? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #181637 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=181637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (15)<BR>\n" );
document.write( "(5 ) <BR>\n" );
document.write( "THIS IS A COMBINATION PROBLEM.<BR>\n" );
document.write( "15 ITEMS TAKEN 5 AT A TIME OR:<BR>\n" );
document.write( "15!/[5!(15-5)!]<BR>\n" );
document.write( "15*14*13*12*11*10*9*8*7*6*5*4*3*2*1/[(5*4*3*2*1)(10*9*8*7*6*5*4*3*2*1]<BR>\n" );
document.write( "NOW CANCEL OUT TO GROUP (10*9*---*2*1)<BR>\n" );
document.write( "15*14*13*12*11/5*4*3*2*1<BR>\n" );
document.write( "360,360/120=3,003 GROUPS OF 5 PROBLEMS CAN BE CHOSEN. </SPAN>\n" );
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