Find the number of way in which the letters of the word 'EXTENSION' can be arranged in a straight line so that no two vowels are next to each other?

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Find the number of way in which the letters of the word 'EXTENSION' can be arranged in a straight line so that no two vowels are next to each other?

This is how i did it:

_X_T_N_S_N_

'_' symbols indicate where the vowels could possibly go

$${_6}C_4 \cdot \dfrac{4!}{2!} \cdot \dfrac{5!}{2!} = 10800$$

However, the answer book says that the answer is 60 so i don't know what i'm doing wrong