use strict;
use warnings;

use constant {
    SEP => $;,
    TRY => 5, # arbitrary
};

use Data::Dump;
use List::Util "shuffle";

my @AoAs = (
    [ [ 2, 3, 4, 5 ], [ 2, 3, 4, 5 ], [ 2, 3, 4, 5 ], ],
    [ [ 3, 2, 4, 5 ], [ 4, 3, 2, 5 ], [ 2, 5, 4, 3 ], ],
);

for (@AoAs) {
    dd $_;
    randomise($_);
}

sub randomise {
    my ($AoA) = @_;

    my %seen;
    @seen{map mk_key(@$_), @$AoA} = (1) x @$AoA;

    for my $i (0 .. $#$AoA) {
        my $tries = 0;

        while (1) {
            my @shuffled = shuffle @{$AoA->[$i]};

            if ($seen{mk_key(@shuffled)}++) {
                die "Too many tries" if ++$tries >= TRY;
            }
            else {
                $AoA->[$i] = [@shuffled];
                last;
            }
        }
    }

    dd $AoA;
}

sub mk_key {
    join SEP, @_;
}

##</code><code>##

[[2 .. 5], [2 .. 5], [2 .. 5]]
[[2, 4, 3, 5], [2, 3, 5, 4], [2, 5, 3, 4]]
[[3, 2, 4, 5], [4, 3, 2, 5], [2, 5, 4, 3]]
[[5, 4, 3, 2], [4, 5, 2, 3], [5, 2, 3, 4]]

##</code><code>##

[[2 .. 5], [2 .. 5], [2 .. 5]]
[[4, 5, 2, 3], [3, 5, 2, 4], [2, 5, 4, 3]]
[[3, 2, 4, 5], [4, 3, 2, 5], [2, 5, 4, 3]]
[[5, 4, 3, 2], [3, 4, 5, 2], [2, 5, 3, 4]]