1. She doesn't like it. Show her another.

Question

2. She doesn't like it. Show her the other.

3. She doesn't like it. Show her others.

4. She doesn't like it. Show her the others.

(Are the sentences all grammatical? Which ones are commonly used?)

Answer 1

Any one of them could be said.
#2 implies that there are only 2.

Sra