document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979424>Question 979424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Anna forgot the code of a 3-digit lock on<BR>\n" );
document.write( "her case (all digits ranging from 0 to 9).<BR>\n" );
document.write( "She remembers that the first digit was<BR>\n" );
document.write( "less than 5, the second digit was an odd<BR>\n" );
document.write( "number, and the third one was either 7 or<BR>\n" );
document.write( "8. There were no identical digits in the<BR>\n" );
document.write( "code<BR>\n" );
document.write( "How many different combinations could<BR>\n" );
document.write( "possibly open her lock? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600702 by </B><A HREF=/tutors/aboutme.mpl?userid=anand429><B>anand429(138)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=anand429><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=anand429><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Possibilities of 1st digit are 0,1,2,3,4<BR>\n" );
document.write( "Possibilities of 2nd digit are 1,3,5,7,9<BR>\n" );
document.write( "Possibilities of 3rd digit are 7,8<BR>\n" );
document.write( "Now, considering no digits are identical,<BR>\n" );
document.write( "For 1st digit 0, 3rd digit-7. 2nd digit options, 1,3,5,9     Total cases=4<BR>\n" );
document.write( "For 1st digit 0, 3rd digit-8. 2nd digit options, 1,3,5,7,9   Total cases=5<BR>\n" );
document.write( "For 1st digit 1, 3rd digit-7. 2nd digit options, 3,5,9       Total cases=3<BR>\n" );
document.write( "For 1st digit 1, 3rd digit-8. 2nd digit options, 3,5,7,9     Total cases=4<BR>\n" );
document.write( "For 1st digit 2, 3rd digit-7. 2nd digit options, 1,3,5,9     Total cases=4<BR>\n" );
document.write( "For 1st digit 2, 3rd digit-8. 2nd digit options, 1,3,5,7,9   Total cases=5<BR>\n" );
document.write( "For 1st digit 3, 3rd digit-7. 2nd digit options, 1,5,9       Total cases=3<BR>\n" );
document.write( "For 1st digit 3, 3rd digit-8. 2nd digit options, 1,5,7,9     Total cases=4<BR>\n" );
document.write( "For 1st digit 4, 3rd digit-7. 2nd digit options, 1,3,5,9     Total cases=4<BR>\n" );
document.write( "For 1st digit 4, 3rd digit-8. 2nd digit options, 1,3,5,7,9   Total cases=5\r<BR>\n" );
document.write( "\n" );
document.write( "Total no. of cases = 41 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );