document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252626>Question 252626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please assist with b and c.  I cannot figure out the formula.\r<BR>\n" );
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document.write( "1.  Delegation Choices.  Seven workers decide to send a delegation of 2 to their supervisor to discuss their grievances.\r<BR>\n" );
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document.write( "a.)  How many different delegations are possible?   Answer 7 nCr 2 = 21<BR>\n" );
document.write( "b.)  If it is decided that a certain employee must be in the delegation, how many different delegations are possible?  Answer: 6\r<BR>\n" );
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document.write( "c.)  If there are 2 women and 5 men in the group, how many delegations would include at least 1 woman?<BR>\n" );
document.write( "Answer: 11<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184663 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=184663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b.) If it is decided that a certain employee must be in the delegation, how many different delegations are possible? Answer: 6<BR>\n" );
document.write( "ANSWER: Here is the thinking. You have already sent 1 person. SO, you have 6 people and must choose 1 more. 6C1 = 6.<BR>\n" );
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document.write( "c.) If there are 2 women and 5 men in the group, how many delegations would include at least 1 woman?<BR>\n" );
document.write( "Answer: 11<BR>\n" );
document.write( "ANSWER: If you choose 1 female, you must choose 1 male - -> (2c1)*(5c1). If you choose 2 women, you choose 0 males - -> (2c2)(5C0).<BR>\n" );
document.write( "2c1 = 2, 5c1 = 5; 2x5 = 10<BR>\n" );
document.write( "2c2 = 1, 5c0 = 1; 1x1 = 1.<BR>\n" );
document.write( "10 + 1 = 11. </SPAN>\n" );
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