Is there any simpler formula than
Tuples[{False, True}, 3]
to generate tuples of all combinations of boolean values?
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3$\begingroup$ In what way do you want it to be simpler? That looks like a very simple and efficient way to get what you are looking for. $\endgroup$– Jason B.Mar 9, 2015 at 8:32
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2 Answers
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As said in comments, that's an efficient way of generating combinations. If you want to do something with them, BooleanTable is pretty neat:
TableForm[
BooleanTable[{{a, b, c}, And[a, b, c], Or[a, b, c], Xor[a, b, c], Xnor[a, b, c]}, {a, b, c}],
TableHeadings -> {None, {"Vars", "And", "Or", "Xor", "Xnor"}}]
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Just to give another way to this goal:
IntegerDigits[#, 2, 3] & /@ Range[2^3] /. {1 -> "True", 0 -> "False"}
;-)
