$10=1+2+7=1+3+6=1+4+5=2+3+5$ 
Three children have $$10$$ balloons in total, and each of them has a different number of balloons. Joann has the most balloons, and at least how many balloons should she have? 
- $$2$$ 
- $$3$$ 
- $$4$$ 
- $$5$$ 
- $$6$$ 