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If 13!2x\dfrac{13!}{2^x}2x13! is an integer, which of the following represents all possible values of x?x?x? (where x xx is a non-negative integer).
A. 0≤x≤100 \le x \le 100≤x≤10. B. 0≤x≤90 \le x \le 90≤x≤9. C. 0≤x<100 \le x < 100≤x<10. D. 1≤x≤101 \le x \le 101≤x≤10. E. 1<x<10 1 < x <101<x<10.
Notation: !!! is the factorial notation. For example, 8!=1×2×3×⋯×88! = 1\times2\times3\times\cdots\times8 8!=1×2×3×⋯×8.
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