Problem:
What is the product of all positive odd integers less than 10,000 ?
Answer Choices:
A. (5000!)210000!β
B. 2500010000!β
C. 250009999!β
D. 25000β
5000!10000!β
E. 250005000!β
Solution:
Note that
1β
3β―9999=2β
4β―100001β
2β
3β―9999β
10000β=25000β
1β
2β―500010000!β=25000β
5000!10000!ββ
The problems on this page are the property of the MAA's American Mathematics Competitions