We don't have synonyms for pairings yet — it may be a rare, specialized, newly coined, or misspelled word. The closest thesaurus entries we have are airing, paring and pairing.
(n) :
(politics) An agreement between two members of a legislative body holding opposite opinions to refrain from voting, so that both may absent themselves.
(n) :
(politics) An agreement between two members of a legislative body holding opposite opinions to refrain from voting, so that both may absent themselves.