The correct answer is C. 1.
The coefficient of restitution (COR) is a dimensionless number that measures the amount of energy that is lost in an elastic collision. A perfectly elastic collision is one in which there is no loss of energy, so the COR is 1.
A perfectly inelastic collision is one in which all of the energy is lost, so the COR is 0.
A real-world example of a perfectly elastic collision is a billiard ball hitting another billiard ball. The energy of the collision is transferred from one ball to the other, and there is no loss of energy.
A real-world example of a perfectly inelastic collision is a ball of clay hitting a wall. The clay sticks to the wall, and all of the energy of the collision is lost.