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In a knockout tournament 2^n equally sk...

In a knockout tournament `2^n` equally skilled players; `S_1.S_2.......S_(2^n)`are participating. In each roundplayers are divided in pair at random and winner from each pair moves in the next round. If `S_2` reaches thesemifinal then the probability that `S_1` wins the tournament is `1/20`. Find the value of `'n'`.

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