qurbani with left hand

Assalaamu `Alaykum wa Rahmatullaahi wa Barakaatuh.
Respected Mufti Saheb, I would like to know from you whether it is permissible to a person to perform Qurbaani with his left hand.If it is not permissible in general, will it be permissible (slaughtering with the left hand) in the case of the person being either a) left-handed, or b) he has some fault in his right hand preventing him from slaughtering with it?
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Eagerly awaiting your response,
Jazaakumullaahu Khayran.