document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1111294>Question 1111294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five digit numbers are made using the numbers 0 to 7. Determine the number of odd numbers that can be made if each digit can only be used once. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #726272 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=726272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "In addition to the requirement that digits not be repeated, the only restriction is that the number must be odd -- that is, the units digit must be odd.<br><BR>\n" );
document.write( "So choose the units digit first; you have 4 choices.<br><BR>\n" );
document.write( "After that, you can choose the digits in any order you want.  You started with 8 different digits, so you have 7 choices for the 2nd digit you choose, the 6 choices for the 3rd, and so on.<br><BR>\n" );
document.write( "The total number of different 5-digit numbers with the given restrictions is<BR>\n" );
document.write( "4*7*6*5*4 = 3360 </SPAN>\n" );
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