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2002 Greece Junior Math Olympiad
4
Inequality
Inequality
Source: Greece National Olympiad 2002 , Juniors , Problem 4.
November 18, 2005
inequalities
Putnam
induction
function
Problem Statement
Prove that
1
⋅
2
⋅
3
⋯
2002
<
(
2003
2
)
2002
.
1\cdot2\cdot3\cdots 2002<\left(\frac{2003}{2}\right)^{2002}.
1
⋅
2
⋅
3
⋯
2002
<
(
2
2003
)
2002
.
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