Elevator & Forces: Acceleration & Normal Force

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A box sits on the floor of an elevator, which is falling freely downward. Which one of the following statements is true?

a. The acceleration of the box is zero.
b. THe weight on the box is zero.
c. The normal force of the box is zero.

For this question, I'm debating between a and c. The elevator is accelerating, not the box. Therefore, the acceleration of the box is zero. The normal force of the box is calculated by mass times acceleration. If the acceleration is zero, the normal force is zero too. Is my reasoning right?
 
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Both the box and the elevator would be experiencing the same force since they are connected essentially. It's similar to when you're on a bus, as the bus accelerates, you move with the bus as well with the same acceleration.