> The solution to this is easy and is Huffman
Well, not. As you said, for 10 bits doesn't matter; and in general it will depend on the input; sometimes run length encoding performs better than Huffman; and also there are cases were Huffman won't capture high order entropy. Also, for zero order entropy arithmetic encoder is superior than Huffman. Unless you care about decompression speed...
Which bring me back to the fact that there is not such a thing as"the solution" in data compression. But more importantly: it was just an example to show an idea; and actually a pretty good one (run length encoding)