document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077762>Question 1077762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Serial numbers for a product are to be made using 2 letters followed by <BR>\n" );
document.write( "4 numbers. If the letters are to be taken from the first <BR>\n" );
document.write( "6 letters of the alphabet with no repeats and the numbers are taken from the digits 0 through 9 with no repeats, how many serial numbers can be generated? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #692259 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=692259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The form of each serial number is XXnnnn\r<BR>\n" );
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document.write( "For XX you have 6P2 = (6*5) = 30  possibilities <BR>\n" );
document.write( "For nnnn there are 10P4 = (10*9*8*7) = 5040 possibilities\r<BR>\n" );
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document.write( "Since the alpha and numeric portions are independent, we need to multiply the above two numbers:<BR>\n" );
document.write( "30*5040 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28151200%29+ ALIGN=MIDDLE  ALT=\"+highlight%28151200%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > total possible serial numbers  </SPAN>\n" );
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