Meeting Name Cards I

4 people (ABCD) are at a table for a meeting. Sketch a way to place the name cards (abcd) such that they’re all mismatched.  Then rotate the table such that at least 2 people have the right name cards.

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Connected Lights Continued

Here are 4 connected lights (where flipping one switch on a light will change the state of itself and its neighbours) in a circle, initially all off.

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Connected Lights Revisited

Flipping the switch of one light in this chain of connected lights will change the state (on O or off X) of the corresponding light (highlighted) and its immediate neighbours.

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