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If I have a list, I know that I can use the RandomSample function to randomly shuffle the list.

However, if I have $n$ lists, each with the same number of elements, is there a way to randomly shuffle the first list and then make the shuffles of the remaining lists be the same rearrangement?

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Assuming your lists (let's call them list1 and list2 each have 100 items, then:

order = RandomSample[Range[100]];

list1[[order]] 
list2[[order]]

(see the documentation for Part)

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    $\begingroup$ Thank you. Very helpful. I do not think you need curly brackets around order though since it is list already. $\endgroup$
    – Gabi23
    Oct 7 at 23:59
  • $\begingroup$ Good point @Gabi23—I just typed this blindly. Modified above. $\endgroup$ Oct 8 at 15:00

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