Find \(P(X_1<X_2<\cdots < X_n)\)

Discrete Mathematics Level pending

Suppose we have 8 Random Variables \(X_1,X_2, \ldots , X_n\) such that each \(X_i \sim \text{exponential}(\lambda)\). Find \(P(X_1<X_2< \cdots <X_n)\)

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