document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=581549>Question 581549</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains 11 red balls, 9 green balls, and 9 black balls. A sample of 9 is to be picked from the box. <BR>\n" );
document.write( "(a) How many samples contain at least 1 red ball?<BR>\n" );
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document.write( " 9966385  samples \r<BR>\n" );
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document.write( "(b) How many samples contain exactly 4 red balls and exactly 3 black balls?<BR>\n" );
document.write( "  \r<BR>\n" );
document.write( "\n" );
document.write( " 997920  samples \r<BR>\n" );
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document.write( "(c) How many samples contain exactly 5 green balls or exactly 3 black balls?<BR>\n" );
document.write( "I need to figure this last part of the problem out and I know that (C(9,5)*C(20,4))+(C(9,3)*C(20,6))-(C(9,5)*C(9,3)) is the format I need but I can't seem to get the correct answer out of it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371702 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=371702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A box contains 11 red balls, 9 green balls, and 9 black balls. A sample of 9 is to be picked from the box. <BR>\n" );
document.write( "(a) How many samples contain at least 1 red ball?<BR>\n" );
document.write( "Total number of samples: 29C9<BR>\n" );
document.write( "Total number with no red: 18C9<BR>\n" );
document.write( "Number with at least 1 red: 29C9-18C9 = 9966385 samples<BR>\n" );
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document.write( "(b) How many samples contain exactly 4 red balls and exactly 3 black balls?<BR>\n" );
document.write( "11C4 * 9C3 * 9C2 = 997920 samples <BR>\n" );
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document.write( "(c) How many samples contain exactly 5 green balls or exactly 3 black balls?<BR>\n" );
document.write( "9C5 * 9C3 * 11C1 = 116424<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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