document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202890>Question 202890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if the<BR>\n" );
document.write( "sequence may not end in 000? Repetition of digits is allowed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153054 by </B><A HREF=/tutors/aboutme.mpl?userid=dyakobovitch><B>dyakobovitch(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dyakobovitch><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if the<BR>\n" );
document.write( "sequence may not end in 000? Repetition of digits is allowed.\r<BR>\n" );
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document.write( "Your first digit is  3, 4, or 5.\r<BR>\n" );
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document.write( "Assume we have four blanks. Our number is _ _ _ _. The first digit has 3 possibilities. We will multiply possibilities to get our total number of permutations. Since numbers can repeat, our possibilities are 3 x 10 x 10 x 10, or 3,000 total permutations. However, since we can't end in 000, we know that 3,000, 4,000, and 5000 are not possible. Therefore, our answer is 3,000 - 3 or 2,997 permutations.\r<BR>\n" );
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document.write( "David </SPAN>\n" );
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