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Select the correct answerMiddle-earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and the elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournoi is one, where out of two teams that play a match, the one that loses get eliminated. The matches are played in different rounds where in every round; half of the teams get eliminated from the tournament. If there are 10 rounds played in a knock-out tournament how many matches were played?radio_button_unchecked1024radio_button_unchecked1023radio_button_unchecked1026radio_button_unchecked1011

Question

Select the correct answerMiddle-earth is a fictional land inhabited by hobbits, elves, dwarves and men. The hobbits and the elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows. A tournoi is one, where out of two teams that play a match, the one that loses get eliminated. The matches are played in different rounds where in every round; half of the teams get eliminated from the tournament. If there are 10 rounds played in a knock-out tournament how many matches were played?radio_button_unchecked1024radio_button_unchecked1023radio_button_unchecked1026radio_button_unchecked1011

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Solution

The correct answer is 1023.

Here's why:

In a knockout tournament, each match eliminates one team. Therefore, the total number of matches needed to find a winner is one less than the total number of teams.

In this case, the number of teams is 2^10 (or 1024) because there are 10 rounds and in each round, half of the teams get eliminated.

So, the total number of matches played is 1024 - 1 = 1023.

This problem has been solved

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