document.write( "Question 246311: License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is allowed?
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document.write( "4)
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document.write( "_______
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document.write( "A)
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document.write( "1,757,600
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document.write( "B)
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document.write( "11,881,376
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document.write( "C)
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document.write( "100,000
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document.write( "D)
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document.write( "175,760
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document.write( "
Algebra.Com's Answer #179913 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 26 letters in the alphabet. \n" ); document.write( "10 numbers (0 through 9)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have 3 letters followed by 2 digits.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that would be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "26*26*26*10*10 = 1757600 possible combinations\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's how it works.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assume only 3 letters (abc) and only 2 number (01) are possible in each position.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "assume only 3 positions (2 letters and 1 number)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that would be 3 * 3 * 2 = 18 possible combinations\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they would be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "aa1 \n" ); document.write( "aa2 \n" ); document.write( "ab1 \n" ); document.write( "ab2 \n" ); document.write( "ac1 \n" ); document.write( "ac2 \n" ); document.write( "ba1 \n" ); document.write( "ba2 \n" ); document.write( "bb1 \n" ); document.write( "bb2 \n" ); document.write( "bc1 \n" ); document.write( "bc2 \n" ); document.write( "ca1 \n" ); document.write( "ca2 \n" ); document.write( "cb1 \n" ); document.write( "cb2 \n" ); document.write( "cc1 \n" ); document.write( "cc2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |