document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=961540>Question 961540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A committee of four is to be selected from a group of sixteen people.  How many different committees are possible, given the following conditions?<BR>\n" );
document.write( "a) One person is the chair, and the rest are general members?<BR>\n" );
document.write( "b) One person is the chair, one person is the secretary, one person is responsible for refreshments, and one person cleans up after meetings.\r<BR>\n" );
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document.write( "How many five card poker hands consisting of all hearts are possible?\r<BR>\n" );
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document.write( "How many five card poker hands consisting of all cards of the same suit are possible? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #587531 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=587531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A committee of four is to be selected from a group of sixteen people. How many different committees are possible, given the following conditions?<BR>\n" );
document.write( " a) One person is the chair, and the rest are general members?<BR>\n" );
document.write( "Pick a chairman:: 16 ways<BR>\n" );
document.write( "Pick 3 others:: 15C3 = 455 ways<BR>\n" );
document.write( "Ans: 16*455 = 7200<BR>\n" );
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document.write( " b) One person is the chair, one person is the secretary, one person is responsible for refreshments, and one person cleans up after meetings.<BR>\n" );
document.write( "Ans: 16*15*14*13 = 43600<BR>\n" );
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document.write( "How many five card poker hands consisting of all hearts are possible?<BR>\n" );
document.write( "Ans:: 13C5 = 1287<BR>\n" );
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document.write( "How many five card poker hands consisting of all cards of the same suit are possible?<BR>\n" );
document.write( "Ans: 4*13C5 = 5148 <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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