If A, B, C are three events associated with a random experiment prove that `P(AuuBuuC)=P(A)+P(B)+P(C)-P(AnnC)-P(BnnC)+P(AnnBnnC)`

Explanation

To prove the equation \( P(A \cup B \cup C) = P(A) + P(B) + P(C) - P(A \cap C) - P(B \cap C) + P(A \cap B \cap C) \), we will follow a systematic approach using the properties of probability.

### Step-by-Step Solution:

1. **Start with the Left-Hand Side (LHS)**:
\[ P(A \cup B \cup C) \]
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