document.write( "Question 207496: I have no idea how to even begin to solve this problem. Help please!\r
\n" ); document.write( "\n" ); document.write( "An automobile license plate consists of 3 letters followed by 4 digits.
\n" ); document.write( "
\n" ); document.write( "How many different plates can be made?
\n" ); document.write( "If repetitions are allowed?
\n" ); document.write( "If repetitions are not allowed?
\n" ); document.write( "If repetitions are allowed in the letters but not in the digits?
\n" ); document.write( "

Algebra.Com's Answer #156911 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
I have no idea how to even begin to solve this problem. Help please!
\n" ); document.write( "An automobile license plate consists of 3 letters followed by 4 digits.\r
\n" ); document.write( "\n" ); document.write( "How many different plates can be made?
\n" ); document.write( "If repetitions are allowed?
\n" ); document.write( "Assuming it's all CAPs, you get
\n" ); document.write( "26*26*26 for the letters, then
\n" ); document.write( "10*10*10*10 for the numbers.
\n" ); document.write( "= 26*26*26*10*10*10*10 = 175760000.
\n" ); document.write( "------------------
\n" ); document.write( "If repetitions are not allowed?
\n" ); document.write( "The 1st letter is 1 of 26, then 1 of 25, then 24.
\n" ); document.write( "Then 1 of 10 numbers, 1 0f 9, etc.
\n" ); document.write( "= 26*25*24*10*9*8*7 = 78624000.
\n" ); document.write( "-----------------
\n" ); document.write( "If repetitions are allowed in the letters but not in the digits?
\n" ); document.write( "Do it like the ones above.
\n" ); document.write( "
\n" );