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3. Answer the following questions over length 7 numbers (strings over (0, 1, 0000000) (a) How many possible strings are there? (b) How many are

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3. Answer the following questions over length 7 numbers (strings over (0, 1, "0000000) (a) How many possible strings are there? (b) How many are palindromes? (c) How many are palindromes with a 7 in the middle? (d) How many have "333" as a substring? 4. Answer the same questions of Problem 3 if we only consider strings of numbers without leading 0's

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