A question about definite article 'the'

I came across the following sentence in one of the grammar sites.

The names of days of the week, months, historical documents, institutions, organisations, religions, their holy texts and their adherents are proper nouns.

Now, in the phrase ‘The names of days of the week’ - is the article usage correct?

Why not the following?

  1. the names of the days of the week
  2. the names of days of week

‘The names’ makes sense as it is followed by prepositional phrase.

As far as I am one of those who have problems with using ‘the’, I want to ask you guys to give a general answer to zoobi’s questions. Appreciate that.

Mixmixi

THE … the definite article gives so many people so much trouble. You may well receive educated replies to your question, but they will all have exceptions to the rule.

The honest truth is that you simply have to learn by trial and error where and when to use it.

Listen to your teachers, and take note of its use in written texts.

Kitos.

Sure will do. Thank you Kitos for the answer.

Mixmixi