Aquaristics

We consider “words” (i.e. arbitrary strings of letters) obtained by rearranging the letters of the word “AQUARISTICS”. All letters are distinguishable from each other here. The number of such words that also contain the expression “CAVA” (as consecutive letters in a given order) is equal to:
(A) 11!/4!
(B) 4! 7!
(C) 8! 3! 2!
(D) 11!/ (3! 2! 2!)

Correct answer:

x = D

Step-by-step explanation:

$$\begin{gathered} n=11 \\ n(K)=2 \\ n(A)=3 \\ n(V)=1 \\ x=D \end{gathered}$$

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