Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. (a) How many strings of hexadecimal digits consist of from one through three digits? The set of hexadecimal digits consisting of from one through three digits can be thought of as broken up into disjoint subsets: S₁, S₂, and so forth, where each S consists of the strings with k hexadecimal digits. There are strings in S₁, strings in S₂, and so forth. Thus, by the addition ✔ rule, the total number of strings is (b) How many strings of hexadecimal digits consist of from two through six digits?

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A:

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