Only 1 plane containing line L can be drawn parallel to plane P.
Step-by-step explanation:
Line L is an axis of an infinite number of planes that can contain it. Line L is a straight line suspended over or below plane P.
All the planes that can contain line L would be almost infinte. Spinning around this axis of line L, the planes that can contain line L will be always be at an angle to plane P except for one position. In this position the plane containing Line L would face straight up to the plane P, hence, this is the only parallel case.
