Question

For a game, three people are chosen in the first round. Each of those people chooses three people in the second round, and so on. How many people are chosen in the sixth round?

Answer 1

Answer: 729 people are chosen in the sixth round.

Step-by-step explanation:

For a game, three people are chosen in the first round. Each of those people chooses three people in the second round. This means that the number of people chosen in the second round would be

3 + 3 + 3 = 9

This is 3²

If 9 people choose 3 people each in the third round, the total number of people chosen in the third round would be

3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 27

This is 3³

This means that the number of people chosen at each round is 3^n

Where n represents the number of round. Therefore,

In the 6th round, n = 6

Number of people chosen is

3^6 = 729