document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181144>Question 1181144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A corporation must appoint a​ president, chief executive officer​ (CEO), chief operating officer​ (COO), and chief financial officer​ (CFO). It must also appoint a planning committee with three different members. There are 11 qualified​ candidates, and officers can also serve on the committee. Complete parts​ (a) through​ (c) below.\r<BR>\n" );
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document.write( "a, How many different ways can the officers be​ appointed?<BR>\n" );
document.write( "There are __ different ways to appoint the officers.\r<BR>\n" );
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document.write( "b. How many different ways can the committee be​ appointed?<BR>\n" );
document.write( "There are __ different ways to appoint the committee.\r<BR>\n" );
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document.write( "c. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified​ candidates?<BR>\n" );
document.write( "​P(getting the three youngest of the qualified candidates) = ____. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811265 by </B><A HREF=/tutors/aboutme.mpl?userid=VFBundy><B>VFBundy(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=VFBundy><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=VFBundy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811265\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <b><i>a) How many different ways can the officers be​ appointed?</b></i><BR>\n" );
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document.write( "11*10*9*8 = 7920<BR>\n" );
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document.write( "<b><i>b) How many different ways can the committee be​ appointed?</b></i><BR>\n" );
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document.write( "11C3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%21%2F%283%21%2A8%21%29 ALIGN=MIDDLE  ALT=\"11%21%2F%283%21%2A8%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 165<BR>\n" );
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document.write( "<b><i>c) What is the probability of randomly selecting the committee members and getting the three youngest of the qualified​ candidates?</b></i><BR>\n" );
document.write( "<pr><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F11%29%2A%282%2F10%29%2A%281%2F9%29 ALIGN=MIDDLE  ALT=\"%283%2F11%29%2A%282%2F10%29%2A%281%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F165 ALIGN=MIDDLE  ALT=\"1%2F165\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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