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  • A chess tournament has 8 players. In how many different ways can the players be paired for the first round?  Option: 1<

A chess tournament has 8 players. In how many different ways can the players be paired for the first round?

 

Option: 1

25


Option: 2

18


Option: 3

28


Option: 4

20


Answers (1)

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To determine the number of different ways the 8 players can be paired for the first round of the chess tournament, we can use the concept of combinations.

In the first round, each player needs to be paired with another player. To find the number of pairings, we need to calculate the number of ways to select 2 players from the pool of 8 players.

The number of ways to select 2 players from 8 players is given by \mathrm{ C(8,2)}, which can be calculated as:

\mathrm{ C(8,2)=8 ! /(2 ! \times(8-2) !)=8 ! /(2 ! \times 6 !)=(8 \times 7) /(2 \times 1)=28 . }

Therefore, there are 28 different ways the 8 players can be paired for the first round of the chess tournament.

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Pankaj

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