document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=628526>Question 628526</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.  A group consists of 4 men and 3 women.<BR>\n" );
document.write( "a)  In how many ways can 3 people be selected from the group of 7?\r<BR>\n" );
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document.write( "b)  In how many ways can 3 people be selected if they are all men?\r<BR>\n" );
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document.write( "c)  What is the probability that the selected group will be all men? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395696 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=395696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3. A group consists of 4 men and 3 women.<BR>\n" );
document.write( "a) In how many ways can 3 people be selected from the group of 7?<BR>\n" );
document.write( "7C3 <BR>\n" );
document.write( "= 7!/3!(7-3)!<BR>\n" );
document.write( "= 4!(5*6*7)/3!4!<BR>\n" );
document.write( "= (5*6*7)/3!<BR>\n" );
document.write( "= (5*6*7)/(1*2*3)<BR>\n" );
document.write( "= (5*6*7)/(2*3)<BR>\n" );
document.write( "= (5*6*7)/(6)<BR>\n" );
document.write( "= (5*7)<BR>\n" );
document.write( "= 35<BR>\n" );
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document.write( "b) In how many ways can 3 people be selected if they are all men?<BR>\n" );
document.write( "4C3<BR>\n" );
document.write( "= 4!/3!(4-3)!<BR>\n" );
document.write( "= 4!/3!1!<BR>\n" );
document.write( "= 4!/3!<BR>\n" );
document.write( "= 3!(4)/3!<BR>\n" );
document.write( "= 4<BR>\n" );
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document.write( "c) What is the probability that the selected group will be all men?<BR>\n" );
document.write( "4/35 = 0.11 = 11% </SPAN>\n" );
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