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If you have 5 cubes then you can make 75 different shapes, If you had 4 cubes then you can make 56 shapes and if you had 3 cubes you could make 7 shapes and if you had 2 cubes ten you could make 12 shapes and if you have 1 cube then you could make Infinity shapes with your imagination.

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You will need to give a few more rules on this question. There could be an infinite number of shapes if the cubes don't have to line up with each other, or even touch.

Is a shape lying down the same as a shape standing up?

If they have to touch one full side against another full side does a row of 5 horizontally count as the same shape as 5 in a row vertically for instance.

If you think of a die (singular of dice) with the 5 side showing are you allowed to arrange the 5 cubes in the same way as the dots on the die? In other words they would only touch at the corners.

I know I have answered your question with a lot more to think about but there could be several answers - all of them correct, depending on the rules of the game.

If you imagine that the loop in the letter "p" represents a cube attached to the top right of a line of 4 cubes what about the equivalent of "q, d or b" would they count as 4 different shapes or the same shape viewed from different angles (including turning it over)?

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