Give me both of them. / Give me both. / Give me them both. / Give me both ones

Question

As I understand it, all answers are correct but the last one is rare. So, all versions are interchangeable, aren't they?

'Would you like to have this ice-cream or that?'

Give me both of them. / Give me both. / Give me them both. / Give me both ones.

Answer 1

"Both ones" is less likely to be used. If you had two coins of €1 and a €10 bill, it might make sense, meaning just the two single Euro coins, i.e., "ones," in colloquial English, but that phrase is unlikely in adult conversation.

That said, all the other choices are equivalent, with no difference in meaning.