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In the absence of a well designed experiment, how can the case be made for causation between two associated variables? Given the digits 0, 1,

In the absence of a well designed experiment, how can the case be made for causation between two associated variables? Given the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 how many valid five digit numbers can be made if there is no repetition of digits and a five digit number may not start with zero

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