# In the first round, one person chooses 3 people. In round 2, those 3 people choose 3 people each. Keeping with the pattern, how many people get chosen in round 6?

##### 1 Answer

Feb 6, 2017

#### Answer:

#### Explanation:

We have six Rounds of choosing people:

R1: 3 are chosen

R2: 3 choose 3, or

R3: 9 choose 3, or

and so on.

And so we can conclude that the pattern of the number of people being chosen in any given round is:

Therefore, in the 6th round, we'll have: