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Assara - South Russian Girl's MO
2024 Assara - South Russian Girl's MO
5
(100!)^99 > (99!)^100 > (100!)^98 .
(100!)^99 > (99!)^100 > (100!)^98 .
Source: Assara 2024 S5
October 14, 2024
algebra
inequalities
Problem Statement
Prove that
(
100
!
)
99
>
(
99
!
)
100
>
(
100
!
)
98
(100!)^{99} > (99!)^{100} > (100!)^{98}
(
100
!
)
99
>
(
99
!
)
100
>
(
100
!
)
98
. K.A.Sukhov
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