# 21st Century!

Algebra Level 4

$\large \displaystyle \left \lfloor \frac{2002!}{2001! + 2000! + \cdots + 2! + 1!} \right \rfloor = \, ?$

Notations:

• $$!$$ denotes the factorial notation. For example, $$8! = 1\times2\times3\times\cdots\times8$$.

• $$\lfloor \cdot \rfloor$$ denotes the floor function.

×