I want to write a sentence to mean that any of the following 4 situations are true.

1. _X_ = _A_ and _Y_ = _A_,
2. _X_ = _B_ and _Y_ = _B_,
3. _X_ = _A_ and _Y_ = _B_,
4. _X_ = _B_ and _Y_ = _A_.

The following sentence,

_Both are A or B._

means only the first two cases in the list above. In other words,

_Both X and Y is A_ **or** _both X and Y is B._

So, I could write a sentence,

_X is A or B_ **and** _Y is A or B._ 

Am I right, or is there a better or concise way of writing a sentence for meaning that any of 4 situations are true?

Thank you for any answers.

P.S. Please, edit tags for this question if needed. I am not sure what tags are appropriate for this kind of question.