document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=836115>Question 836115</A>: <I><SPAN STYLE=\"word-break: break-all;\">  if 5 digits number<BR>\n" );
document.write( "is formed using odd digits without<BR>\n" );
document.write( "repetition,what is the sum of the all<BR>\n" );
document.write( "possible number? . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503980 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=503980\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are many ways to get to the answer.<BR>\n" );
document.write( "I listed the one that seemed easier for my own mind to understand and calculate.<BR>\n" );
document.write( "With some luck, it might sound logical and understandable for you too.<BR>\n" );
document.write( " <BR>\n" );
document.write( "There are 5 odd digits: 1, 3, 5, 7, and 9.<BR>\n" );
document.write( " <BR>\n" );
document.write( "How many 5-digit numbers can we make using those digits without repetition?<BR>\n" );
document.write( "We have 5 ways to choose the first digit.<BR>\n" );
document.write( "For each of those choices, there will be 4 ways to chose the second digit.<BR>\n" );
document.write( "For each set of first and second digit choices, there will be 3 ways to chose the third digit.<BR>\n" );
document.write( "For each set of first, second and third digit choices, there will be 2 ways to chose the fourth digit.<BR>\n" );
document.write( "all in all, there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%21=5%2A4%2A3%2A2=120 ALIGN=MIDDLE  ALT=\"5%21=5%2A4%2A3%2A2=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible 5-digit numbers made from the 5 odd digits without repeating digits.<BR>\n" );
document.write( " <BR>\n" );
document.write( "All 5 of those 5 odd digits are equally likely as the last (units) digit.<BR>\n" );
document.write( "The last digit will be a 1 in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2F5=24 ALIGN=MIDDLE  ALT=\"120%2F5=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > of those <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120 ALIGN=MIDDLE  ALT=\"120\"   DISABLED_style= \"max-width:90%; height:auto;\" > numbers.<BR>\n" );
document.write( "The last digit will be a 3 in another 24 numbers, a 5 in another 24, a 7 in another 24, and a 9 in another 24 numbers.<BR>\n" );
document.write( "All the last digits added up will add up to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2A%281%2B3%2B5%2B7%2B9%29=24%2A25=600 ALIGN=MIDDLE  ALT=\"24%2A%281%2B3%2B5%2B7%2B9%29=24%2A25=600\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "The sum of the tens digits will also be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600 ALIGN=MIDDLE  ALT=\"600\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and so will be the sums of the hundreds, thousands, and ten-thousands digits.<BR>\n" );
document.write( " <BR>\n" );
document.write( "The value of the sum of all the numbers will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2A10000%2B600%2A1000%2B600%2A100%2B600%2A10%2B600=%226+%2C+666+%2C+600%22 ALIGN=MIDDLE  ALT=\"600%2A10000%2B600%2A1000%2B600%2A100%2B600%2A10%2B600=%226+%2C+666+%2C+600%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );