Question

In a tennis competition 128 players were selected for a series of knockout rounds. in each round the losers were eliminated and the winners reached the next round. how many players moved to the next round after 4th round? express this number in the exponential notation in terms of the initial numbers of players​

Answer 1

Answer:

Step-by-step explanation:

There will be 16 players in the 4th Round.

If you observe carefully, it forms a pattern where each round, the number of players will be 2^(n-1).This happens because it is a knockout tournament.

In the 1st round, It is 2^7

In the 2nd round, It is 2^6

In the 3rd round, It is 2^5

And in the 4th round, It is 2^4 which is 16

Answer 2

Answer:

Totally $2^4$

= 16 players moved to the next round after 4th round.

Step-by-step explanation:

Given:

In a tennis competition 128 players were selected for a series of knockout rounds. in each round the losers were eliminated and the winners reached the next round.

To find;

How many players moved to the next round after 4th round? express this number in the exponential notation in terms of the initial numbers of players

Solution:

In a Knock out match, the winner moves to the next round whereas loser gets eliminated without second chance. Thus at the end of each round, only half the players move forward and the losers are eliminated.

The no. of players in the first round = 128 = $2^7$

Second round = $2^6$

Third round = $2^5$

Fourth round =$2^4$