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In a knockout tournament, 2^(n) equally ...

In a knockout tournament, `2^(n)` equally skilld players, `S_(1), S_(2), …, S_(2^(n))` are participating. In each round, players are divided in pairs at random and winner from each pair moves to the next round. If `S_(2)` reaches the semi-final, then the probability that `S_(1)` wins the tournament is `(1)/(84)`. The value of n is_______.

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