Be careful with your licence plates!

Probability Level 5

In Kansas, vehicle licence plates each have exactly three letters followed by three digits. We are told that to produce such a licence plate, it costs $n\$n for each digit n>0n>0 and $10\$10 for each digit 00. For letters, the cost is proportional to the position of the letter in the alphabet, namely, $1\$1 for AA, $2\$2 for BB and so on, up to $26\$26 for ZZ.

Determine how many different licence plates would cost exactly $100\$100.

×

Problem Loading...

Note Loading...

Set Loading...