document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=588415>Question 588415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm confused about this problem.. I would really apprecate the help!!\r<BR>\n" );
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document.write( "A bag contains 6 cherry, 3 orange, and 2 lemon candies. You reach in and take 3 pieces of candy at random. The probability that you have 1 cherry candy and 2 lemon candies is? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374494 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=374494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are <IMG STYLE=\"max-width:80%;\" src=\"http://latex.codecogs.com/gif.latex?\LARGE _{11}C_3 = \frac{11!}{3!(11-3)!} = 165\" title=\"\LARGE _{11}C_3 = \frac{11!}{3!(11-3)!} = 165\" /> different ways to select 3 candies \r<BR>\n" );
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document.write( "Note: this is assuming order doesn't matter\r<BR>\n" );
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document.write( "Of these 165 ways, there are only 6 ways to select 1 cherry candy and 2 lemon candies. Why 6? Since there are only 2 lemon candies and there are 3 slots, this means that there's only one slot left for the cherries. There are 6 cherries to fill that last slot.\r<BR>\n" );
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document.write( "So the probability is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F165+=+2%2F55 ALIGN=MIDDLE  ALT=\"6%2F165+=+2%2F55\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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