document.write( "Question 475193: An automobile license plate consists of three letters followed by four digits. How many different plates can be made if repetions are allowed? If repetions are allowed in the letters but not in the digits? \n" ); document.write( "

Algebra.Com's Answer #325826 by josmiceli(19441) $\"\"$ $\"About$

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There are 26 letters, so, with repetitions,
\n" ); document.write( "There can be $\"+26%2A26%2A26+=+17576+\"$
\n" ); document.write( "different arrangements of the 1st 3 letters
\n" ); document.write( "Digits 0 through 9 are allowed, so, with repetitions,
\n" ); document.write( "There are $\"+10%2A10%2A10%2A10+=+10000+\"$
\n" ); document.write( "arrangements of 4 digits.
\n" ); document.write( "EACH of these $\"+10000+\"$ ways can be attached
\n" ); document.write( "to EACH of the $\"+17576+\"$ arrangements of letters, so
\n" ); document.write( " $\"+26%2A26%2A26%2A10%2A10%2A10%2A10+=+175760000+\"$ is
\n" ); document.write( "the total number of possible plates
\n" ); document.write( " \n" ); document.write( "

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