In a school of \(900\) students, all of them are coded with a distinct three-digit number from \(100\) to \(999.\) If

In a school of \(900\) students, all of them are coded with a distinct three-digit number from \(100\) to \(999.\) If two students are select at random, what is the probability that exactly two digits of their codes are same?

A. \(^{81}C_2/^{900}C_2\)
B. \(^{90}C_2/^{900}C_2\)
C. \(^{162}C_2/^{900}C_2\)
D. \(^{243}C_2/^{900}C_2\)
E. \(^{270}C_2/^{900}C_2\)

Answer: D

Source: e-GMAT