Question 107
A combination lock has a 3 number combination, with each number an integer between $0$ and $39$ inclusive. Call the numbers $n_{1}$, $n_{2}$, and $n_{3}$. If you know that $n_{1}$ and $n_{3}$ leave the same remainder when divided by $4$, and $n_{2}$ and $n_{1}+2$ leave the same remainder when divided by $4$, how many possible combinations are there?