document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1113772>Question 1113772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains three red marbles, two green ones, one lavender one, two yellows, and three orange marbles. <BR>\n" );
document.write( "How many sets of five marbles include at least two red ones?<BR>\n" );
document.write( "  sets </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #728855 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=728855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There are 3 red marbles and 8 others. You are making sets of either 2 of the 3 red and 3 of the 8 others, or all 3 of the red and 2 of the 8 others:<br><BR>\n" );
document.write( "\"3 choose 2\" times \"8 choose 3\" plus \"3 choose 3\" times \"8 choose 2\"<br><BR>\n" );
document.write( "(3C2)*(8C3)+(3C3)(8C2) = 3*56+1*28 = 168+28 = 196 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );