document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143038>Question 143038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bag contains 4 red, 6 white, and 9 blue marbles. How many ways can 5 marbles be selected if 2 are one color, and 3 are another? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104079 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=104079\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bag contains 4 red, 6 white, and 9 blue marbles. How many ways can 5 marbles be selected if 2 are one color, and 3 are another?<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "pick a color: 3 ways<BR>\n" );
document.write( "pick 2 of that color: 4C2 + 6C2 + 9C2 = 6+15+36 = 57 ways<BR>\n" );
document.write( "pick a different color: 2 ways<BR>\n" );
document.write( "pick 3 of that color: 4C3 + 6C3 + 9C3 = 4+20+84 = 108<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Total # of ways:3*57*2*108 = 36936<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );