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$$\eqalign{ & = 1 \times 3 \times 5 \times 7 \times ..... \times 4999 \cr & = \frac{{1 \times 2 \times 3 \times 4 \times 5 \times 6 \times ... \times 5000}}{{2 \times 4 \times 6 \times 8 \times ... \times 5000}} \cr & = \frac{{5000!}}{{{2^{2500}}\left( {1 \times 2 \times 3 \times 4 \times ... \times 2500} \right)}} \cr & = \frac{{5000!}}{{{2^{2500}} \times 2500!}} \cr} $$
This Question Belongs to Arithmetic Ability >> Number System
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