Well, I think the option exists in the second as well-- with both 'illness' and 'colour' considered uncountable. -type is a rather sloppy modern suffix that you can slap as hoc on seemingly any noun or adjective. Use the hyphen there, but it is casual English; you would have to recast to make it formal: 'it is a type of program used in computers', etc.
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Mister MicawberThey're not. It is 'types' that is plural
English 1b3So how come we can use plural forms of these nouns 'colours' and 'illnesses' when they are uncountable?You know, you have the most impertinent way of phrasing your questions that I have ever encountered on this kind of forum.