Show that the above formula for the probability of the union of two events can be generalized

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Show that the above formula for the probability of the union of two events can be generalized to three events as follows:
Pr (A U B U C) = Pr (A) + Pr (B) + Pr(C) – Pr( A∩ B)– Pr( A∩ C)– Pr( B∩ C)+ Pr( A∩ B∩ C).
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