Consider hexadecimal strings of length 12.a) How many strings with exactly 5 A’s have no other digits repeated and end with a digit D? b) How many hexadecimal strings of length twelve have at most four A’s? c) How many hexadecimal strings of length twelve have exactly five A’s and at most two B’s? d) How many hexadecimal strings of length twelve have eight digits from the set 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and four digits from the set A, B, C, D, E, F? No repetition is allowed. e) How many hexadecimal strings of length twelve have at most three distinct digits? For this question only — evaluate your final expression and provide the number too.
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