Question

In a game, 3 people are chosen in the first round. Each of those people chooses 3 people in the second round and so on. How many people are chosen in the 6th round?

Answer 1

729 people chosen

Explanation:

4 calculations in head when 3^2 = 9

3 calculations in head when 3^3 = 27

2 calculations in head when 3^4 = 81

1 calculations in head when 3^5 = 243

Answer found 3^6 = 729.

3 = 1st = 3^1

9 = 2nd = 3^2 3(3)

27 = 3rd = 3^3 9(3)

81 = 4th = 3^4 27(3)

243 = 5th = 3^5 81(3)

729 = 6th = 3^6 243(3)