The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 324 different signs. If the company used 322 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 324 signs?
Choose the correct option
A) 246  B) 248  C) 1292  D) 15,128  E) 30,256
# of 2-letter codes possible from 324 different signs = 324*324.   # of 2-letter codes possible from 322 different signs = 322*322.   The difference = 324^2 - 322^2 = (324 - 322)(324 + 322) = 1292.   Answer: 1292.
<result>C</result>
The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 324 different signs. If the company used 322 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 324 signs?