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

A. $$\frac{{5000!}}{{{2500} \times 2501}}$$

B. $$\frac{{5000!}}{{{2^{2500}} \times 2500!}}$$

C. $$\frac{{5000!}}{{{2^{5000}}}}$$

D. None of these

Answer: Option B

Solution(By Examveda Team)

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