Help the Librarian!

Discrete Mathematics Level 5

The Library has just bought 3 identical Math Books, 3 identical Literature Books, 3 identical Science Books and 3 identical Novels.

The Librarian wants to arrange the books in the shelf so that, no 3 identical books stand in a row.

For example, he can arrange MMLLSSNNMLSN but he can't arrange SSMMMLLNNSLN.

In how many different ways can the Librarian arrange the books?


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