Question 37
In a certain college containing $1000$ students, students may choose to major in exactly one of math, computer science, finance, or English. The diversity ratio $d(s)$ of a student $s$ is defined as the number of students in a different major from $s$ divided by the number of students in the same major as $s$ (including $s$). The diversity $D$ of the college is the sum of all the diversity ratios $d(s)$.
Determine all possible values of $D$.
Determine all possible values of $D$.