Question: Let A, B, and C be sets. Show that: |ABC|=|A|+|B|+|C||AB||AC||BC|+|ABC| (Hint: Begin by letting X=AB, and writing an expression for |XC|.

Let A, B, and C be sets. Show that:

|ABC|=|A|+|B|+|C||AB||AC||BC|+|ABC|

(Hint: Begin by letting X=AB, and writing an expression for |XC|.

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