document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890639>Question 890639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many 3 digit numbers can be formed using 0,1,2, and 3 if no 2 digits are the same?\r<BR>\n" );
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document.write( "the solution used was H T U = 3 x 3 x 2 = 18\r<BR>\n" );
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document.write( "i didn't get how hundreds, tens, and unit became 3 x 3 x 2. is there a way for me to easily understand?\r<BR>\n" );
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document.write( "thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539119 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=539119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For each of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H ALIGN=MIDDLE  ALT=\"H\"   DISABLED_style= \"max-width:90%; height:auto;\" > possible choices for the hundreds digit,<BR>\n" );
document.write( "you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T ALIGN=MIDDLE  ALT=\"T\"   DISABLED_style= \"max-width:90%; height:auto;\" > choices for the tens digit,<BR>\n" );
document.write( "making <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%2AT ALIGN=MIDDLE  ALT=\"H%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" > choices for the first two digits.<BR>\n" );
document.write( "Then for each of those <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%2AT ALIGN=MIDDLE  ALT=\"H%2AT\"   DISABLED_style= \"max-width:90%; height:auto;\" > choices,<BR>\n" );
document.write( "you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U ALIGN=MIDDLE  ALT=\"U\"   DISABLED_style= \"max-width:90%; height:auto;\" > choices for the last digit,<BR>\n" );
document.write( "for a total of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28H%2AT%29%2AU=H%2AT%2AU ALIGN=MIDDLE  ALT=\"%28H%2AT%29%2AU=H%2AT%2AU\"   DISABLED_style= \"max-width:90%; height:auto;\" > choices.<BR>\n" );
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document.write( "You cannot use 0 as the first (hundreds) digit, because it would really make a two-digit number.<BR>\n" );
document.write( "You have only 3 choices (1, 2, or 3) for the hundreds digit.<BR>\n" );
document.write( "The number of possible choices for the hundreds is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H=3 ALIGN=MIDDLE  ALT=\"H=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "For each of those choices, you have have eliminated one of the digits listed above,<BR>\n" );
document.write( "but for the other digits you can also use 0.<BR>\n" );
document.write( "As you have 3 digits not yet used that you can use for the tens and units digits,<BR>\n" );
document.write( "the number of possible choices for the tens digit is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T=3 ALIGN=MIDDLE  ALT=\"T=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "Each possible choice of hundreds and tens digits leaves you two digits not yet used,<BR>\n" );
document.write( "so the number of possible choices for the units digit is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=U=2 ALIGN=MIDDLE  ALT=\"U=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=H%2AT%2AU=3%2A3%2A2=18 ALIGN=MIDDLE  ALT=\"H%2AT%2AU=3%2A3%2A2=18\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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