What ya need is a modified fisher-yates shuffle, shuffling only the part you're looking at: 
my @population = (1..10); # destructive source
my $n = 3; # desired selection size
my @selection; # result appears here
while (@selection < $n) {
  my $swapper = int rand @population;
  push @selection, $population[$swapper];
  if ($swapper < $#population) {
    $population[$swapper] = $population[-1];
  }
  pop @population;
}

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-- Randal L. Schwartz, Perl hacker
Be sure to read my standard disclaimer if this is a reply.

In reply to •Re: Select three random numbers between 1..10 by merlyn
in thread Select three random numbers between 1..10 by Perl_User

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