Perhaps this:
$ perl -E 'say for grep {@b = split //; $c = 0; for $i (@b){$c++ if
+$i}; $c == 3} glob "{0,1}{0,1}{0,1}{0,1}{0,1}";'
00111
01011
01101
01110
10011
10101
10110
11001
11010
11100
Update: sorry, forget it, I had missed or forgotten that you don't want to iterate 0 .. N and then count the bits and then eliminate. Saw it just after having posted.
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