What is the product of all positive odd integers less than 10,000 ?

**Answer Choices**

A. \dfrac{10000 !}{(5000 !)^{2}}

B. \dfrac{10000 !}{2^{5000}}

C. \dfrac{9999 !}{2^{5000}}

D. \dfrac{10000 !}{2^{5000} \cdot 5000 !}

E. \dfrac{5000 !}{2^{5000}}

What is the product of all positive odd integers less than 10,000 ?

**Answer Choices**

A. \dfrac{10000 !}{(5000 !)^{2}}

B. \dfrac{10000 !}{2^{5000}}

C. \dfrac{9999 !}{2^{5000}}

D. \dfrac{10000 !}{2^{5000} \cdot 5000 !}

E. \dfrac{5000 !}{2^{5000}}