Question

There are 6 students in a small class. To make a team, the names of 3 of them will be drawn from a hat. How many different teams of 3 students are possible?

Answer 1

Number of people to choose from? 6
Number Chosen? 3
Is Order important? No
Is Repetition allowed? No

For this I believe you use factorials

(N!)/(N-C)!(C!)

Where N is total number and C is number you can choose

so

(6!)/(6-3)!(3!)

Factorial means multiply by every number lower than it...besides 0

so 6! is 6*5*4*3*2*1
and so on

so

we have

(720)/(6)(6)

or 720 / 36

which comes out to 20

Anyone correct me if I'm wrong