document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206249>Question 1206249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \" Can you please help me with this question by explaining the steps, \"step by step\"? I am stuck and just cant get the idea on how to do it. The problem is, \" HOW MANY DIFFERENT LICENSE PLATES OF 5 DIGITS ARE POSSIBLE IF THE FIRST DIGIT MUST BE A NUMBER, THE NEXT THREE DIGITS ARE LETTERS, AND THE LAST DIGIT IS A NUMBER.<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 #843547 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=843547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there are 10 numbers you can choose from.<BR>\n" );
document.write( "they are 0,1,2,3,4,5,6,7,8,9.\r<BR>\n" );
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document.write( "there are 26 letters you can choose from.<BR>\n" );
document.write( "they are a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z\r<BR>\n" );
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document.write( "assuming all letters and numbers can be entered more than once, your possible number of entries would be.\r<BR>\n" );
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document.write( "first didit = 10<BR>\n" );
document.write( "second digit = 26<BR>\n" );
document.write( "third digit = 26<BR>\n" );
document.write( "fourth digit = 26<BR>\n" );
document.write( "fifth digit = 10\r<BR>\n" );
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document.write( "total number of possible combination would be 10 * 26 * 26 * 26 * 10 = 10^2 * 26^3 = 1,757,600 possible choices.\r<BR>\n" );
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document.write( "to see how this works, make the possible choices less.\r<BR>\n" );
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document.write( "allow for 2 numbers per digit and 2 letters per digit.<BR>\n" );
document.write( "let the numbers = 1,2<BR>\n" );
document.write( "let the letters = a,b<BR>\n" );
document.write( "the possible choices would be 2^2 * 2^3 = 4 * 8 = 32<BR>\n" );
document.write( "those choices would be:<BR>\n" );
document.write( "1AAA1 1AAA2 1AAB1 1AAB2 1ABA1 1ABA2 1ABB1 1ABB2 1BAA1 1BAA2 1BAB1 1BAB2 1BBA1 1BBA2 1BBB1 1BBB2<BR>\n" );
document.write( "16 MORE COMBINATIONS WITH 2 AS THE FIRST DIGIT.<BR>\n" );
document.write( "TOTAL = 32.<BR>\n" );
document.write( "it works the same way with 10 * 26 * 26 * 26 * 10 = 10^2 * 26^3. <BR>\n" );
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