olymmath

KöMaL 2023 B5343

    Decide which one of numbers A=1!−2!+3!−4!+…+2021!−2022!+2023!andB=(1−2+3−4+…+2021−2022+2023)!\begin{align*} A & = 1! - 2! + 3! - 4! + \ldots + 2021! - 2022! + 2023! \text{and}\\ B & =(1-2+3-4+\ldots+2021-2022+2023)! \end{align*} is the bigger.

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