document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847478>Question 847478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the number of separate outcomes \r<BR>\n" );
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document.write( "n = 5, x = 2\r<BR>\n" );
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document.write( "n = 11, x = 9<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510469 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=510469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Imagine you were flipping a coin.\r<BR>\n" );
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document.write( "How many outcomes consist of exactly 2 heads out of 5 flips?\r<BR>\n" );
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document.write( "HHTTT HTHTT HTTHT HTTTH THHTT THTHT THTTH TTHHT TTHTH TTTHH\r<BR>\n" );
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document.write( "There are 10.  Another way we can look at this is (5 choose 2) which you will see is 10.\r<BR>\n" );
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document.write( "Using this logic, (11 choose 9) will be the number of separate outcomes which is 55.\r<BR>\n" );
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document.write( "So, the binomial coefficient at the beginning of the binomial formula is the total number of distinct outcomes... that is (n choose x).\r<BR>\n" );
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