document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=657938>Question 657938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the following counting problem. At a local private high school there are 26 students in the senior class. From these 26 seniors, a team of 4 students will be randomly selected to represent the school in a tv commercial. of the 4 students that will be selected, the first will be on camera, the second will write the script, the third will produce, and the fourth will run<BR>\n" );
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document.write( "a) How many ways can the 4 different positions be filled? Please show work.<BR>\n" );
document.write( "b) in complete sentences, give all the different way to answer part a. Also, briefly explain why each of these methods apply in this case. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #410084 by </B><A HREF=/tutors/aboutme.mpl?userid=lostin><B>lostin(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lostin><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=410084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> From 26 Student 4 student can be selected which can be seen as making combination of 4 out of 26 things, so will be result as 26C4 which will give us (26!/(4!22!), Calculating this will give us 14950.\r<BR>\n" );
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document.write( " (a) All 4 work are differenct from each other (Produce, script writing,acting and running camera ) so after seleting 4 ,these 4 work can be done in total 4*3*2*1 , as after selecting one for one specific task he will be no more available for another task. \r<BR>\n" );
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document.write( "( Explanation : - Let say first we are selecting for script writing so now the person can no more participate in acting, production or running camera )\r<BR>\n" );
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document.write( "so after selection 4 places can be filled in 12 ways.  \r<BR>\n" );
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document.write( "(b) Since Selecting 4 out of 26 and than selecting role for each one are independent of each other. so total possible ways to represent in act are 12*14950 = 179400 ( Wooo.. too big number.. But this is what you expect when you have too many option to fill 4 things ) \r<BR>\n" );
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