Consider the following statements about a collision between two bodies:
1. The total kinetic energy remains constant throughout the collision.
2. The total momentum remains constant throughout the collision.
3. The total energy remains constant throughout the collision.

Which of the statements apply to an elastic collision?
A. 1 and 2 only
B. 2 and 3 only
C. 1 and 3 only
D. 1, 2, and 3