Let say I have three sequences:

S1 = {1,2,3,4,5,6,7,8,9,10}

S2 = {3,7,1,9,4,10,5,8,6,2}

S3 = {8,3,10,2,6,7,1,5,9,4}

i.e. S2 and S3 are just the permutations of S1. Is there any method to check how much these sequences are random to each other? I need to check their randomness using any randomness test. I found NIST test suite which is for bit-stream but not able to find any test for permuted sequences.

Keeping in mind that the sequence is big {1,2.3,...,n} and have 'm' sequences.

Edit:
Here; m < n 

And permutations are key-based permutations.