I got these at a math competition, and I have the answer to number one, but I have no clue how to do it. The answer is down below.

1. How many ways can 6 men be seated in a row if two of the men must NOT be seated together?

2. One of the lateral edges of a pyramid is 4 meters long. How far from the vertex will this edge be cut by a plane parallel to the base, which divides the pyramid into two equivalent parts (of equal volume). Round the final answer to the nearest .001 meter.






ANSWER:

1. 480