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Mathematics, 25.09.2022 23:10 jjuniorr

Aadya is building towers by stacking identically shaped cubes of different colors on top of each other. She has $1$ red cube, $2$ yellow cubes, $3$ green cubes, and $4$ blue cubes. How many different $10$-cube-high towers can Aadya build using these $10$ cubes so that neither of the bottom two cubes of the tower are green?

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