document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144654>Question 144654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a learning task, a subject is presented with five buttons. He must learn to press a certain three of them in a predetermined order. What chance does the subject have of pressing correctly on the first time.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105405 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=105405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume that he may not press the same button twice.<BR>\n" );
document.write( "Since order is important permutations apply.<BR>\n" );
document.write( "P=n!/(n-r)!<BR>\n" );
document.write( "=5!/(5-3)!<BR>\n" );
document.write( "=(5*4*3*2!)/2!<BR>\n" );
document.write( "=5*4*3<BR>\n" );
document.write( "=60 possible ways to press 3 of the 5 buttons in the correct order.<BR>\n" );
document.write( "chance of pressing the 3 buttons in the correct order the 1st time: 1/60<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );