# A discrete mathematics problem by Clara Blackstone

**Discrete Mathematics**Level 2

In my fridge's shelves there are 10 condiments that are good for breakfasts, 8 that are good for lunch/dinner, and 12 that are good for dessert.

Of all of the condiments, exactly half of those that are good for breakfast are also good for lunch/dinner. And every condiment is either good for desert or good for *both* lunch/dinner *and* breakfast.

Given all of this, what is the ** difference** between the

**number of condiments that I might have in my fridge and**

*maximum***number of condiments that I might have in my fridge?**

*minimum***Your answer seems reasonable.**Find out if you're right!

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