Hello, can you please offer an answer and a detailed explanation to the following question? How do agency by ratification and apparent agency specifically apply or not apply to this scenario?

Patterson accompanied his boss Rodney to a party where several of his bosss clients were present. Patterson was discussing a contract with Sadie that he knew Rodney wanted to close the deal on. Patterson started discussing the contract with Sadie. Rodney was within earshot and nodded at Patterson and Sadie as they were discussing the deal but did not know the details being discussed. Sadie takes Rodneys nod as a sign that Patterson has the authority to contract. Sadie later signed a contract, but for a much different amount than Rodney wanted. Rodney would like to rescind the contract on the theory that Patterson had not authority to enter into the agreement. Can Rodney do so?

a) No, Rodney allowed an agency by ratification to exist by allowing Patterson to discuss details of the contract.

b) No, Rodney created an agency by executive authority by nodding at Sadie and Patterson.

c) Yes, Patterson had not authority

d) No, Rodney created an apparent agency by allowing Patterson to negotiate the contract.

e) No, Rodney created an expressed agency by allowing Patterson to come to the party.