Permutations & Combinations questions from one of the videos

GRE Quant Problem Solving
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(For reference, this is from Essential Data Analysis Techniques #3 in the 2-month Plan, around the 39th minute mark)

Q - On a bookshelf, there’s room for 7 books, 3 fiction and 4 non-fiction. Fiction books have to be together on the left and non-fiction on the right. Find ways to arrange
A - The solution Greg gives is 3x2x1x4x3x2x1.

My doubt - Had the question been the books should alternate, i.e. one fiction, one non-fiction, one fiction and so on, would the solution be the same?
4x3x3x2x2x1x1 seems like the answer in that scenario.
If that’s the right way to go about it in that case, how are we specifically calculating for scenarios that are given in the original question since both answers are the same?

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@gregmat Hey, tagging you here (Sorry if that’s not allowed, I’m new here)

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Correct.

The fact that both answers are the same can be as simple as coincidence. And indeed you can reduce the second problem into the first - so they are the same from a “what you need to do” perspective.