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ezhyl_marie
 2 years ago
16 teams enter a competition. They are divided up into four pools(A, B, C,D) of four teams each.
every team plays one match against the other teams in its pool.
After the pool matches are completed:
*the winner of pool A plays the second placed team of pool B
*the winner of pool B plays the second placed team of pool A
*the winner of pool C plays the second placed team of pool D
*the winner of pool D plays the second placed team of pool C
The winners of these four matches then play semifinals, and the winners of the semifinals play in the final. how many matches are played altogether?
ezhyl_marie
 2 years ago
16 teams enter a competition. They are divided up into four pools(A, B, C,D) of four teams each. every team plays one match against the other teams in its pool. After the pool matches are completed: *the winner of pool A plays the second placed team of pool B *the winner of pool B plays the second placed team of pool A *the winner of pool C plays the second placed team of pool D *the winner of pool D plays the second placed team of pool C The winners of these four matches then play semifinals, and the winners of the semifinals play in the final. how many matches are played altogether?

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ezhyl_marie
 2 years ago
Best ResponseYou've already chosen the best response.0it is a probability question. What formula did you used ?

Yttrium
 2 years ago
Best ResponseYou've already chosen the best response.0Let's consider the first case. for every pool there are 4 groups right? I think we can use here the 4P4 = 24

***[ISURU]***
 2 years ago
Best ResponseYou've already chosen the best response.0the number of way that a set of n can be arrange is given by n!

***[ISURU]***
 2 years ago
Best ResponseYou've already chosen the best response.0The number of matches played in each Pool = (4 × 3)/(2 × 1) = 6 So the total number of Pool matches = 4 × 6 = 24 The winners and second placed teams play a further 4 matches. Then there are 2 semifinals and 1 final So the total number of matches = 24 + 4 + 2 + 1 = 31

Yttrium
 2 years ago
Best ResponseYou've already chosen the best response.0then there are four battles for the case 2 (after pool matches are comleted) = 4 then case 3 (winners of case 2 to fight for semifinals) = 2 case 4 (battle for finals) = 1 Hence it is 24+4+2+1 = 31
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