In one case you're looking at the system as "alphanumeric string of length N." In another, the system is that plus something like "my friend's opinion on the string".
Also, as the article says, using "entropy" to mean "order" is not a good practice. "Order" is a subjective concept, and some systems (like oil and water separating) look more "ordered" but still have higher entropy, because there is more going on energetically than we can observe.
In one case you're looking at the system as "alphanumeric string of length N." In another, the system is that plus something like "my friend's opinion on the string".
Also, as the article says, using "entropy" to mean "order" is not a good practice. "Order" is a subjective concept, and some systems (like oil and water separating) look more "ordered" but still have higher entropy, because there is more going on energetically than we can observe.