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I'm programming an applet and run over a problem I can't solve (hope this is the right place to post it):

Having a 4 by 4 2d grid and 8 lineal elements: a) 1 of 4 square, b) 1 of 3 squares, c) 3 of 2 squares, and d) 3 of 1 suare:

_grid:

XXXX

XXXX

XXXX

XXXX

_elements:

a) XXXX

b) XXX

c) XX - XX - XX

d) X - X - X

How many combinations are possible? Any piece can be rotated by 90° and any combination must use all the available elements.

Any help on how to tackle the problem will be much appreciated.... thank you !!

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# Tetris-like combinatorial problem

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