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

1 Answer
Apr 22, 2018

#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.