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Question

Thirty-two players ranked 1 to 32 are playing in a knockout tournament. Assume that in every match between any two players, the better-ranked player wins, the probability that ranked 1 and ranked 2 players are winner and runner up respectively, is

A
1631
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B
12
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C
1731
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D
1132
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Solution

The correct option is A 1631
For ranked 1 and 2 players to be winners and runners up respectively, they should not be paired with each other in any round, except the last round. Therefore, the required probability = 3031×1415×67×23=1631

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