The total momentum of a system is conserved during a collision, provided there are no external forces acting on it. This means that if the initial momentum of the billiard ball that strikes the others is 3 kg⋅m/s, then the total momentum of the system (the colliding billiard ball and the three other billiard balls) after the collision is also 3 kg⋅m/s.
Therefore, the correct response is:
3 kg⋅m/s