All possible values of $x$

Number Theory Level 2

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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