document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161761>Question 1161761</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume a class has 24 members. (a) In how many ways can a president, a vice president, and a secretary be selected? The formula is nPr= n!/(n-r)!                                                      \r<BR>\n" );
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document.write( "(b) How many committees of 5 people can be chosen? The formula is <BR>\n" );
document.write( " nCr= n!/r!(n-r)! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #785372 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=785372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Assume a class has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > members. \r<BR>\n" );
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document.write( "(a) In how many ways can a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=president ALIGN=MIDDLE  ALT=\"president\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=vice ALIGN=MIDDLE  ALT=\"vice\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+president ALIGN=MIDDLE  ALT=\"+president\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=secretary+ ALIGN=MIDDLE  ALT=\"secretary+\"   DISABLED_style= \"max-width:90%; height:auto;\" >be selected? \r<BR>\n" );
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document.write( "The formula is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nPr=+n%21%2F%28n-r%29%21+ ALIGN=MIDDLE  ALT=\"nPr=+n%21%2F%28n-r%29%21+\"   DISABLED_style= \"max-width:90%; height:auto;\" >....given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=24 ALIGN=MIDDLE  ALT=\"n=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=3 ALIGN=MIDDLE  ALT=\"r=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >                                                     \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24P3=+24%21%2F%2824-3%29%21+ ALIGN=MIDDLE  ALT=\"24P3=+24%21%2F%2824-3%29%21+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24P3=+24%21%2F21%21+ ALIGN=MIDDLE  ALT=\"24P3=+24%21%2F21%21+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24P3=+%28%2824%2A23%2A22%29%2A21%21%29%2F21%21+ ALIGN=MIDDLE  ALT=\"24P3=+%28%2824%2A23%2A22%29%2A21%21%29%2F21%21+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24P3=+%28%2824%2A23%2A22%29%2Across%2821%21%29%29%2Fcross%2821%21%29+ ALIGN=MIDDLE  ALT=\"24P3=+%28%2824%2A23%2A22%29%2Across%2821%21%29%29%2Fcross%2821%21%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24P3=+24%2A23%2A22+ ALIGN=MIDDLE  ALT=\"24P3=+24%2A23%2A22+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24P3=+12144+ ALIGN=MIDDLE  ALT=\"24P3=+12144+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(b) How many committees of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > people can be chosen? \r<BR>\n" );
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document.write( "The formula is:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C5=+24%21%2F%285%21%2824-5%29%21%29 ALIGN=MIDDLE  ALT=\"24C5=+24%21%2F%285%21%2824-5%29%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=24 ALIGN=MIDDLE  ALT=\"n=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=5 ALIGN=MIDDLE  ALT=\"r=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C5=+24%21%2F%285%21%2A19%21%29 ALIGN=MIDDLE  ALT=\"24C5=+24%21%2F%285%21%2A19%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C5=+%28%2824%2A23%2A22%2A21%2A20%29%2A19%21%29%2F%285%21%2A19%21%29 ALIGN=MIDDLE  ALT=\"24C5=+%28%2824%2A23%2A22%2A21%2A20%29%2A19%21%29%2F%285%21%2A19%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C5=+%28%2824%2A23%2A22%2A21%2A20%29%2Across%2819%21%29%29%2F%285%21%2Across%2819%21%29%29 ALIGN=MIDDLE  ALT=\"24C5=+%28%2824%2A23%2A22%2A21%2A20%29%2Across%2819%21%29%29%2F%285%21%2Across%2819%21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C5=+%2824%2A23%2A22%2A21%2A20%29%2F%285%2A4%2A3%2A2%2A1%29 ALIGN=MIDDLE  ALT=\"24C5=+%2824%2A23%2A22%2A21%2A20%29%2F%285%2A4%2A3%2A2%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C5=+24%2A23%2A11%2A7 ALIGN=MIDDLE  ALT=\"24C5=+24%2A23%2A11%2A7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24C5=+42504 ALIGN=MIDDLE  ALT=\"24C5=+42504\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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