document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044378>Question 1044378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> h)    In a Mathematics course, the students are required to complete four projects. If there <BR>\n" );
document.write( "       are ten different projects to choose from, how many ways can a student choose the <BR>\n" );
document.write( "       four projects\r<BR>\n" );
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document.write( "i) if there are no restrictions?      ii) if two of the projects are compulsory for all students? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #659661 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel555><B>jorel555(1290)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel555><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=659661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i) 10 different projects chosen 4 at a time is 10 choose 4, or 10!/4!6!, or 210 possible selections<BR>\n" );
document.write( "ii)If 2 projects are compulsory, the you have 8 choose 2, or 8!/2!6!, which is or 28 possible combinations. &#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
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