Use of the word ‘different’

Solution 1:

1. […] visited several schools in three different communities […]
2. […] the verses of Kabir have four different senses; illusion, spirit, intellect, and the exoteric doctrine of the Vedas.
3. In November 1805, Prince Vasili had to go on a tour of inspection in four different provinces.
4. Google Research Intern, PhD, 2021 in 8 different countries.
5. On two (n) different occasions.
6. How many different parts of speech can the f-word be used as?

(a) In most of these examples, omitting 'different' would have the pragmatic effect of making the sentence sound weaker. 'They visited schools in three communities' for instance sounds less emphatic, somehow less committed, than when 'different' is included. Redundancy has to be balanced against this.

(b) As Greybeard says, 'different' also carries the meaning of

• not alike in character or quality; distinct in nature; dissimilar:

The two brothers are very different even though they're identical twins.

[Dictionary.com]

and at least example (1) carries this sense as a denotation/connotation.

(c) 'Different' also carries the 'distinct' [non-overlapping] sense:

• distinct; separate.
  on two different occasions

[Lexico]

I'd say this sense is at least strongly connoted in example (2), and hinted at in most of the others.