document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473509>Question 473509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear math teacher, \r<BR>\n" );
document.write( "\n" );
document.write( "I am having difficulites solving the following math problem: \r<BR>\n" );
document.write( "\n" );
document.write( "In how many ways can 9 different prizes be awarded to two students so that one receives 3 and the other 6? \r<BR>\n" );
document.write( "\n" );
document.write( "So far, I got two answers but they are incorrect. The correct answer is 168. \r<BR>\n" );
document.write( "\n" );
document.write( "Here is what I did so far: <BR>\n" );
document.write( "First, I said to myself, this might be done this way:  Permutation = 9 factorial divided by (3 factorial times 6 factorial) and that equals to 84. However, that's not the right answer. So then, I calculated: Permutation of 9 things taken 3 at a time TIMES Permution of 6 things taken 6 at time = 82.080. However, it's not the right answer either.  \r<BR>\n" );
document.write( "\n" );
document.write( "Would you please help me solve this problem?  Thank you so much. \r<BR>\n" );
document.write( "\n" );
document.write( "Yours, \r<BR>\n" );
document.write( "\n" );
document.write( "I. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324724 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=324724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In how many ways can 9 different prizes be awarded to two students so that one receives 3 and the other 6? <BR>\n" );
document.write( "----<BR>\n" );
document.write( "# of ways to pick a student: 2<BR>\n" );
document.write( "# of ways to give 3 prizes to that student: 9C3 = 84<BR>\n" );
document.write( "# of ways to give 6 prizes to the \"other\" student: 1<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Note: The \"other\" students automatically get the remaining 6 prizes.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Ans: 2*84*1 = 168<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );