document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132285>Question 1132285</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5 of 10 employees of a corporation are men . Suppose that 4 employees are selected at random as delegates for a conference.how many selections will contain : a) exacrly 3 men ? B) at least 3 men ? C) what is the probability that a random selection will contain exactly 3 men ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749278 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52858)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=749278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a) &nbsp;&nbsp;exactly 3 men ?\r<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "    (select 3 of 5 men) * (select 1 of 5 women) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B5%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B5%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B5%5D%5E1 ALIGN=MIDDLE  ALT=\"C%5B5%5D%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2A4%29%2F%281%2A2%29 ALIGN=MIDDLE  ALT=\"%285%2A4%29%2F%281%2A2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10*5 = 50 different selections.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "b) &nbsp;&nbsp;at least 3 men ?\r<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "    (select 3 of 5 men) * (select 1 of 5 women) + (select 4 of 5 men) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B5%5D%5E3 ALIGN=MIDDLE  ALT=\"C%5B5%5D%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B5%5D%5E1 ALIGN=MIDDLE  ALT=\"C%5B5%5D%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%5B5%5D%5E4 ALIGN=MIDDLE  ALT=\"C%5B5%5D%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 50 + 5 = 55 different selections.\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "c) &nbsp;&nbsp;what is the probability that a random selection will contain exactly 3 men ?\r<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "    P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%5B5%5D%5E3%2AC%5B5%5D%5E1%29%2FC%5B10%5D%5E4 ALIGN=MIDDLE  ALT=\"%28C%5B5%5D%5E3%2AC%5B5%5D%5E1%29%2FC%5B10%5D%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2810%2A5%29%29%2F%28%28%2810%2A9%2A8%2A7%29%2F%281%2A2%2A3%2A4%29%29%29 ALIGN=MIDDLE  ALT=\"%28%2810%2A5%29%29%2F%28%28%2810%2A9%2A8%2A7%29%2F%281%2A2%2A3%2A4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F210 ALIGN=MIDDLE  ALT=\"50%2F210\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F21 ALIGN=MIDDLE  ALT=\"5%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.2381 = 23.81% (approximately).\r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );