document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75898>Question 75898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Some managers are to be selected from a group of 30 to work on a special project.<BR>\n" );
document.write( "a.  In how many ways can 3 managers be selected?<BR>\n" );
document.write( "b.  In how many ways can a nonempty group of at most 3 managers be selected from the 30 managers?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54488 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=54488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Some managers are to be selected from a group of 30 to work on a special project.<BR>\n" );
document.write( "a. In how many ways can 3 managers be selected?<BR>\n" );
document.write( "30C2 = [30*29*28]/[1*2*3] = 4060<BR>\n" );
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document.write( "b. In how many ways can a nonempty group of at most 3 managers be selected from the 30 managers? <BR>\n" );
document.write( "30C1 + 30C2 + 30C3<BR>\n" );
document.write( "30 + 435 + 4060 = 4525<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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