1: None. It's left
to the reader as an exercise.
2: One. He gives
it to 7 Enterprise crew members, thereby reducing the problem to an earlier joke.
3: In earlier work,
Someone  has shown that one mathematician can change a light bulb.
If k mathematicians can change a light bulb, and if one more simply watches them
do it, then k+1 mathematicians will have changed the light bulb.
Therefore, by induction, for all n in the positive integers, n mathematicians
can change a light bulb.
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