$(1200+1500)-(2006-6)=700$ 
$$2006$$ students participated in a survey. The survey stated that $$1500$$ of them participated in the Math Kangaroo contest, and $$1200$$ of them participated in an English Language contest. Out of the students who participated in the survey, how many participated in both contests if it is known that $$6$$ people did not take part in either of the competitions? ($$2006$$ Math Kangaroo Problems, Level $$7-8$$, Question \#$$5$$) 
[a] $$300$$ 
[b] $$500$$ 
[c] $$600$$ 
[d] $$700$$ 
[e] $$1000$$ 