If $\dfrac{13!}{2^x}$ is an integer, which of the following represents all possible values of $x?$ (where $x$ is a non-negative integer).

A. $0 \le x \le 10$.

B. $0 \le x \le 9$.

C. $0 \le x < 10$.

D. $1 \le x \le 10$.

E. $1 < x <10$.

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**Notation:** $!$ is the factorial notation. For example, $8! = 1\times2\times3\times\cdots\times8$.

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