document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263018>Question 263018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that 8 competitors in a race are 4 men and 4 women. All are equally fit. What is the probability the top 3 finishes will include exactly one woman? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193957 by </B><A HREF=/tutors/aboutme.mpl?userid=palanisamy><B>palanisamy(496)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=palanisamy><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=193957\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 4 men and 4 women.<BR>\n" );
document.write( "The top 3 finishes will include exactly one woman.<BR>\n" );
document.write( "Out of 8 competitors 3 can be selected in 8C3 = (8*7*6)/(1*2*3) = 56 ways<BR>\n" );
document.write( "Out of 4 women 1 can be selected in 4 ways.<BR>\n" );
document.write( "Out of 4 men 2 can be selected in 4C2 = (4*3)/(1*2) = 6 ways.<BR>\n" );
document.write( "Number of favorable ways = 4*6 = 24<BR>\n" );
document.write( "The probability the top 3 finishes will include exactly one woman = 24/56<BR>\n" );
document.write( "                                                                  = 3/7\r<BR>\n" );
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document.write( " </SPAN>\n" );
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