Full score: $10+10\times1=20$.  Smith gets $(20-14)\div(1+1)=3$ questions wrong, and $10-3=7$ questions correct. 
In a certain quiz show there are the following rules: every participant has $$10$$ points at the beginning and has to answer $$10$$ questions. For each correct answer, the participant earns $$1$$ point, and for each incorrect answer, the participant loses $1$ point. Mrs. Smith had $$14$$ points at the end of this quiz show. How many correct answers did she give? ($$2011$$ Math Kangaroo Problem, Level $$3-4$$, Question \#$$17$$) 
Options:
1. $$7$$ 
2. $$8$$ 
3. $$9$$ 
4. $$6$$ 
5. $$4$$ 