Hi Nimas, “Entertainment” is most naturally an uncountable noun. You can put the countable noun first so that the number is more directly modifying it, and that sounds very natural “.... a choice of ten different types of activities and entertainment”.

I would use entertainment in the uncountable way. Because you say 'ten different types' (which is plural) of something specifically, so you don't need to make entertainment plural. "ten different types of entertainment"

'entertainments' is fine and works well in your sentence. The rest of the sentence is good as well. Edit: I just wanted to add that 'entertainment' can be a countable or non-countable noun. You're using it in the countable sense and for that reason it works well in your sentence.