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 124 different signs. If the company used 122 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 124 signs? Select the correct option:
A) 246  B) 248  C) 492  D) 15,128  E) 30,256
OK let's take a crack at this one.   So basically we have 144^2 - 142^2   So then (144+142)(144-142)   (246)(2) = 492   ANSWER:492
<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 124 different signs. If the company used 122 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 124 signs?