Find the product of all odd natural numbers less than 5000.

Answer: Option B

Product of all odd natural numbers less than 5000
$$\begin{array}{rl}& =1\times 3\times 5\times 7\times .....\times 4999\\ & =\frac{1\times 2\times 3\times 4\times 5\times 6\times ...\times 5000}{2\times 4\times 6\times 8\times ...\times 5000}\\ & =\frac{5000!}{2^{2500}\left(1\times 2\times 3\times 4\times ...\times 2500\right)}\\ & =\frac{5000!}{2^{2500}\times 2500!}\end{array}$$