document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134436>Question 1134436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 42.A team plays 15 games a season.  How many ways are there to end up with 8 wins and 7 losses for the season? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751827 by </B><A HREF=/tutors/aboutme.mpl?userid=mathsolverplus><B>mathsolverplus(88)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathsolverplus><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=mathsolverplus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This situation assumed that there are only two outcomes and tying doesn't exist.\r<BR>\n" );
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document.write( "Let C(n,r) denote the number of combinations of n items chosen r items at a time.\r<BR>\n" );
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document.write( "C(n,r) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%21%2F%28%28n-r%29%21r%21%29 ALIGN=MIDDLE  ALT=\"n%21%2F%28%28n-r%29%21r%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Number of ways to win 8 out of 15 games: \r<BR>\n" );
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document.write( "C(15,8) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%21%2F%28%2815-8%29%218%21%29 ALIGN=MIDDLE  ALT=\"15%21%2F%28%2815-8%29%218%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "        = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2A14%2A13%2A12%2A11%2A10%2A9%29%2F%287%2A6%2A5%2A4%2A3%2A2%2A1%29 ALIGN=MIDDLE  ALT=\"%2815%2A14%2A13%2A12%2A11%2A10%2A9%29%2F%287%2A6%2A5%2A4%2A3%2A2%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "        = 6435\r<BR>\n" );
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document.write( "Number of ways to lose 7 out of 7 remaining games:\r<BR>\n" );
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document.write( "C(7.7) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%21%2F7%21 ALIGN=MIDDLE  ALT=\"7%21%2F7%21\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1\r<BR>\n" );
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document.write( "Hence, the total number of ways to have 8 wins and 7 losses is:\r<BR>\n" );
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document.write( "6435*1 = 6435\r<BR>\n" );
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