What is the difference between "in-between" and "in between"?

Solution 1:

According to Merriam-Webster, 'in-between' is used as a noun or adjective whereas 'in between' is an adverb or preposition.

Hope this helps.

Solution 2:

I think the correct form would be actually:

The man is sitting between the two women.

So, neither. You are using between as a preposition here, so if you refer to the questions you gave as examples in your question, you should use just between.