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.