Tim Peters added the comment:

Lucas, I largely agree, but it is documented that the various combinatorial 
generators emit items in a particular lexicographic order.  So that is 
documented, and programs definitely rely on it.

That's why, in an earlier comment, Terry suggested that perhaps `product()` 
could make a special case of its (and only its) first argument (and only when 
repeat=1).  Each element of the first iterable is needed only once (although it 
may copied into any number of outputs), so there's no actual need to make a 
tuple of it first.  The implementation is just simpler and clearer by treating 
all arguments alike.

Which is a good enough reason for me - and the "use cases" for an unbounded 
first argument look exceptionally weak to me.

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<http://bugs.python.org/issue10109>
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