2^24 different bit strings can be constructed given the restriction(s).
What do you mean by string?
A string is generally a sequence of characters in computer programming, either as a literal constant or as some form of variable. The latter can have its elements modified and its length changed, or it can be fixed (after creation). A string is commonly implemented as an array data structure of bytes (or words) that records a sequence of elements, typically characters, using some character encoding. Strings can also be used to represent more broad arrays or even other sequence (or list) data types and structures.
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