The oil embargo of $1973$ spurred a study of the possibility of using automatic meter readings to reduce costs to power companies. One procedure studied entailed the use of $128-$bit messages. Occasionally transmission errors occur resulting in a digit reversal of one or more bits. How many messages can be sent that contain exactly two transmission errors? Hint: Think of a message as being a permutation of $128$ objects, each of which is either correct $($c$)$ or not correct $(n).$