Meaningless Anime Title

Discrete Mathematics Level 4

Here's my favorite Anime (you may found it in my status):

SHI - GA - TSU - WA - KI - MI - NO - U - SO

Find the number of arrangements of the syllables such that, both WA and NO aren't at the beginning or end or besides each other.

Note: No spoilers in the comment, please.

Clarification: Arrange (not derange) is to swap positions of the syllables, but you may keep some syllables unchanged.


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