MathDB

5

Part of 2001 AMC 12/AHSME

Problems(1)

Product of odd integers

Source:

12/3/2005
What is the product of all odd positive integers less than 10000? <spanclass=′latex−bold′>(A)</span> 10000!(5000!)2<spanclass=′latex−bold′>(B)</span> 10000!25000 <spanclass=′latex−bold′>(C)</span> 9999!25000<spanclass=′latex−bold′>(D)</span> 10000!25000⋅5000!<spanclass=′latex−bold′>(E)</span> 5000!25000 <span class='latex-bold'>(A)</span> \ \frac {10000!}{(5000!)^2} \qquad <span class='latex-bold'>(B)</span> \ \frac {10000!}{2^{5000}} \ \qquad <span class='latex-bold'>(C)</span> \ \frac {9999!}{2^{5000}} \qquad <span class='latex-bold'>(D)</span> \ \frac {10000!}{2^{5000} \cdot 5000!} \qquad <span class='latex-bold'>(E)</span> \ \frac {5000!}{2^{5000}}