document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=562633>Question 562633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are six positions available in the research department of a software company. Of the applicants, 15 are men and 10 are women. \r<BR>\n" );
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document.write( "In how many ways could 4 men and 2 women be chosen if each were equally qualified?\r<BR>\n" );
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document.write( "What is the probability that five women are selected if the positions are randomly filled? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364633 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=364633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 15 are men and 10 are women. <BR>\n" );
document.write( "In how many ways could 4 men and 2 women be chosen if each were equally qualified? <BR>\n" );
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document.write( "# of ways to select 4 men: 15C4 = 1365<BR>\n" );
document.write( "# of ways to select 2 women: 10C2 = 45<BR>\n" );
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document.write( "# of ways to select 4men and 2 women = 15C4*10C2 = 1365*45 = 61425<BR>\n" );
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document.write( "What is the probability that five women are selected if the positions are randomly filled?<BR>\n" );
document.write( "Ans: 10C5/25C5 = 0.0941<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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