Question: [R06] Consider a source that emits an alphabet with three symbols A, B, C having probability distributions as followsP(A) = 0.625, P(B) 0.125, P(C)

[R06] Consider a source that emits an alphabet with three symbols A, B, C having probability distributions as

[R06] Consider a source that emits an alphabet with three symbols A, B, C having probability distributions as followsP(A) = 0.625, P(B) 0.125, P(C) = 0.25. = Construct a Huffman code and calculate its average code length. For this three-symbol case, how many Huffman codes are possible? What are they? In general, for N symbols, how many Huffman codes are possible? Justify your answer formally. Is the code you have defined optimal? Give reasons. If not, what can you do to improve upon this? Show a solution by an example computing the average code length.

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