Ziggyny's World Tour
The magician, The Great Ziggyny, is planning his next world tour. He knows a total of 7 different illusions but he only has time to perform 4 of them at any show. The Great Ziggyny does not want any two of his shows to be identical, so they cannot contain the same 4 illusions in the same order. What is the most number of cities The Great Ziggyny can perform in during his tour?
The answer is 840.
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