Generate new lists with the same order using RandomSample?

Questions
1

Hi

I have two lists as below :

List1 = {a1, b1, c1, d1}

List2 = {a2, b2, c2, d2}

with using RandomSample[ ] how I can generate new lists with the same order for both lists. For example :

RandomSample[List1]

{b1, d1, a1, c1}

RandomSample[List2]

{b2, d2, a2, c2}

Many thanks for your help.

2

1 Approach: Use SeedRandom[].

SeedRandom[3];
RandomSample[List1]
SeedRandom[3];
RandomSample[List2]

Regards,

Neil

3

You’re the best Neil.
Thanks so much.

4

RandomSample can be emulated by creating a random reordering of the integers 1,2,…length(list). Then just use the same reordering on both lists.

list1 = {a1, b1, c1, d1};
list2 = {a2, b2, c2, d2};
randOrder = RandomSample[Range[Length[list1]]]
list1[[randOrder]]
list2[[randOrder]]

(* Out[679]= {2, 3, 4, 1}

Out[680]= {b1, c1, d1, a1}

Out[681]= {b2, c2, d2, a2} *)
5

Dear Daniel,

Your assistance is always appreciated. A great solution!

Mohammad