document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=692372>Question 692372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many different license plates can be made using 4 letters followed by 3 digits selected from the digits 0 through 9, if digits may be repeated but letters may not be repeated?\r<BR>\n" );
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document.write( "a) 358,800,000<BR>\n" );
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document.write( "b) 1,794,000<BR>\n" );
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document.write( "c) 258,336,000<BR>\n" );
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document.write( "d) 456,099<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 #427321 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=427321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With a 26-letter alphabet, there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26 ALIGN=MIDDLE  ALT=\"26\"   DISABLED_style= \"max-width:90%; height:auto;\" > different choices for the first letter.<BR>\n" );
document.write( "Each first letter choice leaves you <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" > other letters that can be chosen as second letter.<BR>\n" );
document.write( "So there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2A25 ALIGN=MIDDLE  ALT=\"26%2A25\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways to choose the first two letters,<BR>\n" );
document.write( "and for each of those choices there are still <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24 ALIGN=MIDDLE  ALT=\"24\"   DISABLED_style= \"max-width:90%; height:auto;\" > other letters to choose the third letter from.<BR>\n" );
document.write( "So there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2A25%2A24 ALIGN=MIDDLE  ALT=\"26%2A25%2A24\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways to choose the first three letters,<BR>\n" );
document.write( "and for each of those choices there are still <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23 ALIGN=MIDDLE  ALT=\"23\"   DISABLED_style= \"max-width:90%; height:auto;\" > other letters to choose the fourth letter from.<BR>\n" );
document.write( "So there are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2A25%2A24%2A23 ALIGN=MIDDLE  ALT=\"26%2A25%2A24%2A23\"   DISABLED_style= \"max-width:90%; height:auto;\" > ways to choose the four letters at the beginning of the license plate.<BR>\n" );
document.write( "Then, there are 10 ways to choose each of the three digits, resulting in<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A10%2A10=1000 ALIGN=MIDDLE  ALT=\"10%2A10%2A10=1000\"   DISABLED_style= \"max-width:90%; height:auto;\" > combinations of three digits, from 000 to 999,<BR>\n" );
document.write( "that can follow each of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2A25%2A24%2A23 ALIGN=MIDDLE  ALT=\"26%2A25%2A24%2A23\"   DISABLED_style= \"max-width:90%; height:auto;\" > allowed four-letter combinations.<BR>\n" );
document.write( "That gives us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2A25%2A24%2A23%2A1000=358800000 ALIGN=MIDDLE  ALT=\"26%2A25%2A24%2A23%2A1000=358800000\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible different license plates.<BR>\n" );
document.write( "So the correct answer is a). </SPAN>\n" );
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