document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023986>Question 1023986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains 12 red marbles, 7 green marbles, and 9 black marbles. A sample of 9 marbles is to be picked from the box. <BR>\n" );
document.write( "(a) How many samples contain at least 1 red marble?<BR>\n" );
document.write( "(b) How many samples contain exactly 4 red marbles and exactly 3 black marbles?<BR>\n" );
document.write( "(c) How many samples contain exactly 7 red marbles or exactly 6 green marbles?<BR>\n" );
document.write( "(d) How many samples contain exactly 5 green marbles or exactly 3 black marbles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639481 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=639481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A box contains 12 red marbles, 7 green marbles, and 9 black marbles. A sample of 9 marbles is to be picked from the box. <BR>\n" );
document.write( "(a) How many samples contain at least 1 red marble?<BR>\n" );
document.write( "Total # of 9 marble samples:: 28C9<BR>\n" );
document.write( "Total # of 9 marble samples with no red:: 16C9<BR>\n" );
document.write( "Ans: # of 9 marble samples with at least one red:: 28C9-16C9<BR>\n" );
document.write( "====================================================================<BR>\n" );
document.write( "(b) How many samples contain exactly 4 red marbles and exactly 3 black marbles?<BR>\n" );
document.write( "Ans: 12C4*9C3*7C2<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "(c) How many samples contain exactly 7 red marbles or exactly 6 green marbles?<BR>\n" );
document.write( "Ans: 12C7*16C2 + 7C6*21C3<BR>\n" );
document.write( "-------------------------------------<BR>\n" );
document.write( "(d) How many samples contain exactly 5 green marbles or exactly 3 black marbles?<BR>\n" );
document.write( "Ans: 7C5*21C4 + 9C3*19C6<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );