document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984144>Question 984144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many four-digit numbers, each less than 6000, can be made with the digits 1,3,4,5,7,8,and 9 if a)repetitions are allowed; b)no repetitions are allowed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604930 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "With repetition:<BR>\n" );
document.write( "Starting from left, for first digit there are 4 choices (less than 6), second digit 7 choices, third digit 7 choices, fourth digit 7 choices:<BR>\n" );
document.write( "4 x 7 x 7 x 7=1372<BR>\n" );
document.write( "ANSWER: 1372 four digit numbers can be made with repetition.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Without repetition:<BR>\n" );
document.write( "Starting from left, for first digit there are 4 choices (less than 6), second digit 6 choices, third digit 5 choices, fourth digit 4 choices:<BR>\n" );
document.write( "4 x 6 x 5 x 4=<BR>\n" );
document.write( "ANSWER: 480 four digit numbers can be made without repetition. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );