MathDB

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?

Problem Statement