document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=380032>Question 380032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My couch potato friend enjoys sitting in front of the TV and grabbing handfuls of 4 chocolates at random from his snack jar. Unbeknownst to him, I have replaced one of the 18 chocolates in his jar with a cashew. (He hates cashews with a passion.)\r<BR>\n" );
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document.write( "How many possible outcomes are there the first time he grabs 4 chocolates?<BR>\n" );
document.write( "1\r<BR>\n" );
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document.write( "How many of these include the cashew? 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #269739 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=269739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> My couch potato friend enjoys sitting in front of the TV and grabbing handfuls of 4 chocolates at random from his snack jar. Unbeknownst to him, I have replaced one of the 18 chocolates in his jar with a cashew. (He hates cashews with a passion.) <BR>\n" );
document.write( "How many possible outcomes are there the first time he grabs 4 chocolates?<BR>\n" );
document.write( "Ans: 18C4 = 18!/(14!*4!) = 3060 outcomes<BR>\n" );
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document.write( "How many of these include the cashew?<BR>\n" );
document.write( "The number that do NOT contain the cashew is 17C4 = 17!/(13!*4!) = 2380<BR>\n" );
document.write( "So the number that DO contain the cashes is 3060-2380 = 680<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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