document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=561438>Question 561438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five separate awards are to be presented to selected students from a class of size 30. \r<BR>\n" );
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document.write( "a) How many different outcomes are possible if a student can receive any number of awards?\r<BR>\n" );
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document.write( "b) How many different outcomes are possible if each student can receive at most one award? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364273 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=364273\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Five separate awards are to be presented to selected students from a class of size 30. <BR>\n" );
document.write( "a) How many different outcomes are possible if a student can receive any number of awards?:::<BR>\n" );
document.write( "The 1st student may or may not receive each of the 5 awards: 2^5 = 32 ways<BR>\n" );
document.write( "The 2nd student the same: 32 ways<BR>\n" );
document.write( "The 3rd student the sam: 32 ways<BR>\n" );
document.write( "Total # of ways = 32^3 = 32768<BR>\n" );
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document.write( "b) How many different outcomes are possible if each student can receive at most one award?<BR>\n" );
document.write( "1st student 5<BR>\n" );
document.write( "2nd student 4<BR>\n" );
document.write( "3rd student 3<BR>\n" );
document.write( "Total 5*4*3 = 60 ways<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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