Fractional Factorials

Number Theory Level 1

\[\large \dfrac{(10!\color{green}{+}9!)(8!\color{green}{+}7!)(6!\color{green}{+}5!)(4!\color{green}{+}3!)(2!\color{green}{+}1!)}{(10!\color{red}{-}9!)(8!\color{red}{-}7!)(6!\color{red}{-}5!)(4!\color{red}{-}3!)(2!\color{red}{-}1!)} = \, \, \large ?\]

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