Right option is (a) The above said situation is not possible
For explanation: When the balls collide, net external force on them is zero, so we can conserve momentum. 2*10 = 3*v ∴ v = 20/3 = 6.67m/s.
Note that the final kinetic energy is less than the initial kinetic energy, this is because the internal forces have done work during collision which gets converted into sound & heat energy.