document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049716>Question 1049716</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please do show me how did you solve it\r<BR>\n" );
document.write( "\n" );
document.write( "Find the Number of Ways of Selecting 4 applications out of 12<BR>\n" );
document.write( "There are seven entries in a horse race. In how many different ways can the horses finish?<BR>\n" );
document.write( " Nine horses are running in a race. In how many different ways can those horses come in first, second, and third respectively?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665288 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=665288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the Number of Ways of Selecting 4 applications out of 12<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "The 1st choice is 1 of 12.<BR>\n" );
document.write( "Then 1 of 11, then 10, then 9.<BR>\n" );
document.write( "12*11*10*9 = 11880<BR>\n" );
document.write( "--<BR>\n" );
document.write( "But, if there's no difference in the applications, ie, if A, B, C & D is the same as B, C, D & A then there are 4*3*2*1 = 24 ways to make each group of 4.<BR>\n" );
document.write( "11880/24 = 495 ways.<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "There are seven entries in a horse race. In how many different ways can the horses finish?<BR>\n" );
document.write( "7*6*5*4*3*2*1 = 5040 ways.<BR>\n" );
document.write( "That's 7! called 7 factorial.<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( " Nine horses are running in a race. In how many different ways can those horses come in first, second, and third respectively?<BR>\n" );
document.write( "9*8*7 ways.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );