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1
2007 Algebra #1: Floor of Factorials
2007 Algebra #1: Floor of Factorials
Source:
June 21, 2012
factorial
floor function
Problem Statement
Compute
⌊
2007
!
+
2004
!
2006
!
+
2005
!
⌋
.
\left\lfloor \dfrac{2007!+2004!}{2006!+2005!}\right\rfloor.
⌊
2006
!
+
2005
!
2007
!
+
2004
!
⌋
.
(Note that
⌊
x
⌋
\lfloor x \rfloor
⌊
x
⌋
denotes the greatest integer less than or equal to
x
x
x
.)
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