document.write( "Question 1152872: How many different license plates with repetition involving 3 letters and 4 digits if 3 letters must appear together at the beginning or at the end of plate. \n" ); document.write( "
Algebra.Com's Answer #774993 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! There are 26 letters(A-Z) and 10 digits(0-9) \n" ); document.write( ": \n" ); document.write( "Since letters can repeat, we have 26^3 permutations to form letters on the license plate \n" ); document.write( ": \n" ); document.write( "Since the digits can repeat, we have 10^4 permutations to form digits on the license plate \n" ); document.write( ": \n" ); document.write( "Since the letters can appear at the front or the back, we multiply by 2 \n" ); document.write( ": \n" ); document.write( "Therefore, \n" ); document.write( ": \n" ); document.write( "There are 2 * 26^3 * 10^4 = 351,520,000 license plates \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |