document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042201>Question 1042201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me on parts A through C its confusing.\r<BR>\n" );
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document.write( "4  A DE license plate starts with a digit other than 0, followed by two capital letters, followed by three more digits (0 through 9).\r<BR>\n" );
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document.write( "a)  How many different DE plates are possible? ____________________________\r<BR>\n" );
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document.write( "b)  How many different DE plates start with a 4 and end with a 9? _____________________________\r<BR>\n" );
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document.write( "c) How many DE plates have no repeated symbols? __________________________________<BR>\n" );
document.write( "                             (all digits and letters are different)<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 #657214 by </B><A HREF=/tutors/aboutme.mpl?userid=Aldorozos><B>Aldorozos(172)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Aldorozos><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=657214\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The Plan number will look like something like this\r<BR>\n" );
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document.write( "NAANNN\r<BR>\n" );
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document.write( "The first N above is a number between 1 and 9. For this N we have nine options. These options are 1,2,3,4,5,6,7,8,9\r<BR>\n" );
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document.write( "For the first A above we have 26 options. These options are A,B,C,....Z<BR>\n" );
document.write( "For the Second A above we have 26 options. These options are A,B,C,....Z\r<BR>\n" );
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document.write( "For the second N which is a number we can have 10 options. These options are <BR>\n" );
document.write( "0,1,2,3,4,5,6,7,8,9\r<BR>\n" );
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document.write( "For the third N which is a number we can have 10 options. These options are <BR>\n" );
document.write( "0,1,2,3,4,5,6,7,8,9\r<BR>\n" );
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document.write( "for the fourth N which is a number we can have 10 options. These options are <BR>\n" );
document.write( "0,1,2,3,4,5,6,7,8,9\r<BR>\n" );
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document.write( "Now the question a asks how many plate numbers we can have. We can multiply our options\r<BR>\n" );
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document.write( "9*26*26*10*10*10 = the answer to question a. You may use your calculator for fine this number\r<BR>\n" );
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document.write( "Questions b is asking <BR>\n" );
document.write( "How many different DE plates start with a 4 and end with a 9? \r<BR>\n" );
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document.write( "This means for the first number we don't have nine different options anymore. We only have one option and that option is number 4.\r<BR>\n" );
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document.write( "Similarly for the last digit we don't have 10 different options. We only have one option and that option is 9\r<BR>\n" );
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document.write( "1*26*26*10*10*1 = the answer to question b. You may use your calculator for fine this number\r<BR>\n" );
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document.write( "Question C doesn't want any repeated numbers.\r<BR>\n" );
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document.write( "For the first digit we have nine options 1,2,3,4,5,6,7,8,9<BR>\n" );
document.write( "For the first alphabet we have 26 options<BR>\n" );
document.write( "However we come with the second alphabet, we don't have 26 options anymore we have 25 because we don't want repeated alphabet for the second alphabet.\r<BR>\n" );
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document.write( "For the second digit that we originally had 10 options, this time we have 9 options since we already used one of the options in the first digits\r<BR>\n" );
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document.write( "For the third option we only have 8 digits left. Since we used one of the digits in the first option and another digit (number) in the second option. Therefore we have ended up with only 8 numbers\r<BR>\n" );
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document.write( "For the third last number we have 7 options left. <BR>\n" );
document.write( "Now we have to multiply out options together\r<BR>\n" );
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document.write( "9*26*25*9*8*7 This is the answer to C. You may use your calculator to find the answer.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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