If there are only a handful of objects, then you can count them with a moment's thought, but the techniques of combinatorics can extend to quickly and efficiently tabulating astronomical quantities. See more

How many choices does he have for his flight plan?

28,000 people read

23,000 people read

4,000 people read both.

How many people read neither?

What is the minimum number of girls who are right-handed in this class?

How many triangles are there in the diagram above?

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