Question

How many teams can you make from 131 people if there are 7 people in a team?

Answer 1

`131/7 = 18` teams of seven with `5` folks left over.

Explanation:

That's `131` people divided by `7` people per team.

`131/7 = 18` teams with remainder `5` folks left over.

I originally thought this was asking how many different teams can you make choosing seven players out of 131:

That's 131 choose 7. I don't know how to write it in Socratic, something like:

`( stackrel{131}{ 7})`

The numbers should be the same size.

`( stackrel{131}{ 7}) = \frac{ 137 cdot 136 cdot 135 cdot 134 cdot 133 cdot 132 cdot 131 }{7 cdot 6 cdot 5 cdot 4 cdot 3 cdot 2 cdot 1 } = 111,600,996,000`

111 billion teams. That's a lot of teams.