# Must be a math class .....

Algebra Level 5

Suppose a lecture hall has a rectangular array of chairs with $$r$$ rows and $$c$$ columns. Suppose further that there are precisely $$17$$ girls seated in each row and precisely $$14$$ boys seated in each column. (A maximum of one person per chair is allowed).

If exactly $$9$$ chairs are empty then find the minimum possible value of $$r*c.$$

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