I believe that amount should only be used for uncountable things, like pudding number and count should only be used for countable things, like baby aardvarks quantity can be used for either, and รขโ‚ฌยฆ Grammar amount of or number of? We use amount of with uncountable nouns.

We use a huge amount of paper in the office every day. The amount of time it took รขโ‚ฌยฆ