(Strings of letters) On a certain planet, there are 410 inhabitants, each of which has a unique 10-letter identifier. Each letter is either A, B, C or D, so there are 4¹0 different identifiers, and every identifier is currently in use. Identifiers look like CBAADAABBB or AADABCAACC. An inhabitant of the planet is now chosen uniformly at random (that is, each inhabitant has the same probability of being chosen). What is the probability that the identifier of the chosen inhabitant (c) is a palindrome? (d) has no two consecutive identical letters?

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