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Huffman trees: Let the probabilities of the symbols 1 through 5 be 1/15, 2/15, 3/15, 4/15 and 5/15, respectively. The Huffman tree and Huffman code

Huffman trees: Let the probabilities of the symbols 1 through 5 be 1/15, 2/15, 3/15, 4/15 and 5/15, respectively. The Huffman tree and Huffman code for these symbols is not unique. So, answer these questions:

(6). How many different prefix codes are there (for the given data) that do as well as the Huffman code?
(7). What is the length of the longest codeword?
(8). Is the Huffman code a prefix code?
(9). Identify two symbols with the longest codeword.

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