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Answer the following questions over length 7 numbers (strings over Σ = {0, 1, . . . , 9}, thus 6 =“0000006”): (a) How many possible strings are there? (b) How many are palindromes? (c) How many a

Answer the following questions over length 7 numbers (strings over Σ = {0, 1, . . . , 9}, thus 6 =“0000006”):

(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?

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