discrete math diagram

Is this a valid argument: No college cafeteria food is good,

No good food is wasted.

therefore, some college cafeteria food may be wasted.

i used three seperate circles in the diagram and each said,

no food is wasted.

some college cafeteria food is wasted.

and no college cafeteria food is wasted.

is this correct, can someone please draw the correct way to do this please.

Quote:

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Originally Posted by rcmango

No college cafeteria food is good.
No good food is wasted.
Therefore, some college cafeteria food may be wasted.

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This is clearly an invalid argument!
With two universal premises there cannot be an existential conclusion.
That is the existential falsity.