document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143238>Question 1143238</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Six​ stand-up comics,​ A, B,​ C, D,​ E, and​ F, are to perform on a single evening at a comedy club. The order of performance is determined by random selection. Find the probability​ that:<BR>\n" );
document.write( "a. Comic E will perform fifth.<BR>\n" );
document.write( "b. Comic C will perform fifth and Comic F will perform fourth.<BR>\n" );
document.write( "c. The comedians will perform in the following​ order:<BR>\n" );
document.write( "E, C, F, B, A, D.<BR>\n" );
document.write( "d. Comic A or Comic D will perform first. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764044 by </B><A HREF=/tutors/aboutme.mpl?userid=4419875><B>4419875(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=4419875><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=764044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%21%2F6%21%29 ALIGN=MIDDLE  ALT=\"%285%21%2F6%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >- Supposed there will be only 1 for the fifth place then the remaining 5 shall be ocuupied by order of 5!. To illustrate, 5-4-3-2-1-1. And of course, the arrangement for the sample space is 6!. Since we consider the total nunber of events.\r<BR>\n" );
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document.write( "B.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%21%2F6%21%29 ALIGN=MIDDLE  ALT=\"%283%21%2F6%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-Same principle applied with letter A.\r<BR>\n" );
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document.write( "C. Since we specify on how we situate the persons there should be 1/6! Likewise, bserve that there is 1 1 1 1 1 1 sequence\r<BR>\n" );
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document.write( "D.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2A4%21%29%2F%286%21%29 ALIGN=MIDDLE  ALT=\"%282%2A4%21%29%2F%286%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-2 persons A or D can occupy the first performance and the rest shall be arranged accordingly by 4! </SPAN>\n" );
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