The total momentum of a system before a collision must equal the total momentum after the collision, according to the law of conservation of momentum.
Since the initial billiard ball has a momentum of 3 kg⋅m/s, the total momentum of the system (the original ball plus the other three balls) after the collision will still be 3 kg⋅m/s, assuming no external forces act on the system.
Therefore, the correct response is:
3 kg⋅m/s