# The Perfect Tetris?

I received a set of 21 tetraminos, consisting of 3 copies each of the 7 distinct pieces.

I want to arrange them into a nice rectangle, of area $$3 \times 4 \times 7$$. For how many rectangle shapes can I fit all of them nicely?

Note: It doesn't matter if there are 2 ways to fill in the rectangle. Rotations / Reflections / Orientation of the rectangle also doesn't matter.

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