document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202169>Question 1202169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I solve this problem: “A bag contains 4 red, 6 white and 9 blue marbles. How many ways can 5 marbles be drawn so that *at least* 2 marbles are blue?”\r<BR>\n" );
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document.write( "I have tried the following but wonder if they one is correct:<BR>\n" );
document.write( "1. 9C2 * 17C3   I thought that 2 blue marbles would be drawn, leaving 17 blue, red or white marbles to be drawn. The scenarios would be multiplied to yield 24480 ways.<BR>\n" );
document.write( "2. Sum the results from each scenario of 2-5 blue marbles being drawn. (9C2 * 10C3) + (9C3 * 10C2) + (9C4 * 10C1) + (9C5) = 9486\r<BR>\n" );
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document.write( "Is there a flaw in my thinking? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836805 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=836805\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I didn't check your calculations, but the second method is correct while the first is not.<br><BR>\n" );
document.write( "Without trying to explain further, your first method won't give you the right answer because your \"9\" and \"17\" don't add up to 19.<br><BR>\n" );
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