Pinocchio has a magic nose, which will stretch out $5$ cm if he tells a lie and will shorten itself $1$ cm if he tells a truth. At the beginning his nose was $11$ cm long. The length of his nose changed into $13$ cm after he had said $10$ sentences. If these sentences were not true, they were definitely false. Thus, there were~\uline{~~~~~~~~~~}~truths among these $10$ sentences. 
选项为:A:$$5$$  B:$$6$$  C:$$7$$  D:$$8$$  E:$$9$$  请回答其中一个选项.