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Four matches are to be played in a chess tournament. In how many ways can result be decided?

Question

Four matches are to be played in a chess tournament. In how many ways can result be decided?

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Solution 1

In a chess match, there are three possible outcomes: Player A wins, Player B wins, or the match is a draw.

For each of the four matches, there are three possible outcomes.

So, the total number of ways the results can be decided is 3 (outcomes per match) raised to the power of 4 (number of matches).

This is calculated as 3^4 = 81.

So, there are 81 different ways the results of the four matches can be decided.

This problem has been solved

Solution 2

In a chess match, there are three possible outcomes: Player A wins, Player B wins, or the match is a draw.

For each of the four matches, there are three possible outcomes.

Therefore, the total number of ways the results can be decided is 3 (outcomes per match) raised to the power of 4 (number of matches).

So, the results can be decided in 3^4 = 81 ways.

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