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. \( 1 < x <10\).

\(\)

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

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