In my problem '01' is different than '10', and I need to count them separately. Still, your point of not needing to count the last is well taken, as I can count 3, and thereby know the 4th. However, by doing this, I'm not seeing any significant performance gains, and it may be a bit slower.
Rate browser+LR browserUK browser+LR 19055/s -- -2% browserUK 19509/s 2% --
Code for benchmarking...

In reply to Re^3: Speeding permutation counting by albert
in thread Speeding permutation counting by albert

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