9. Suppose you are searching for a girls name written using only the letters D, N and A. You have the letters ordered alphabetically (A, D, N) and you start writing down possibilities: A, D, N, AA, AD, AN, DA, DD, DN, NA, ND, NN, ... (a) How many strings of four or fewer letters are there where the letters are D, N or A? (b) In the above possibilities, are you searching in a depth first or breadth first way? (c) What are the next three possible names you would write down? (d) How many possibilities will you write down ANNA?

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