Question: Prove why the two random processes below result in the same distribution of outcomes. 1. Pick a uniform random permutation a of [n] and count

Prove why the two random processes below result in the same distribution of outcomes.

1. Pick a uniform random permutation a of [n] and count the number of cycles in T. 2. Flip n coins C1, C2, ..., On where Ci has a probability 1/i of coming up heads, independently of the other coins and count the total number of heads

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