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n m [Fermat 2008] ( )
mn ( ) 4n + m ( ) 3n + 2m ( ) 2m + 3n ( )
[AMC10B, 2005] ( )
n
1+ 2 + ... + n n! 24
22 ( ) 20 ( ) 18 ( ) 16 ( )
99!×101! ( )
[AMC10 2004] ( )
)
99!×100! ( ) 98!×100! ( ) 98!× 99! ( )
[AMC10B 2003] (
(n +1) (n + 3)(n + 5) (n + 7) (n + 9)
n
15 ( ) 11 ( ) 5( ) 3 ()
48 ( )
6 ()
64 ( ) 12 ( ) 10 ( )
7056n n [MAӨ 2007] ( )
n
15 ( ) 12 ( ) 9( ) 3 ()
.4
[AMC10B 2003] ( )
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