Given the message M$="$MI IS A MISSISSIPPI HIPPY"

How many different characters $($the space $\text{'}\text{'}$ should be considered$)$ are included in the message?

How many bits are required to send $M$ when using a $3-$bit binary code per letter?

What is the entropy of the message M$?$

How many bits are required to send M using Huffman coding?

How many bits are required to send $M$ using LZW coding, starting with the following initial

codebook $($indexes are encoding using $5$ bits; the size of the codebook cannot exceed $32$ indexes,

that is to say values from $0$ to $31)$

$($if time permits$)$ How many bits are required to send M using LZW coding $+$ Huffman coding

$($instead of a fixed $5-$bit binary code per index$)?$