SOLUTION: How many different groups of 3 can you make you make with 22 students?

Question 895304: How many different groups of 3 can you make you make with 22 students?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
n C r = (n!)/(r!(n-r)!)

22 C 3 = (22!)/(3!*(22-3)!)

22 C 3 = (22!)/(3!*19!)

22 C 3 = (22*21*20*19!)/(3!*19!)

22 C 3 = (22*21*20)/(3!)

22 C 3 = (22*21*20)/(3*2*1)

22 C 3 = (9240)/(6)

22 C 3 = 1540

So there are 1,540 different groups (assuming order doesn't matter)
RELATED QUESTIONS
If you have a group of 8 people, how many 3 person groups can you... (answered by stanbon)

If you have 88 books, how many groups can you make with the equal amount of books? (answered by Uneeeey)

You have 7 old books and need to choose 4 to give away. How many different groups of 4... (answered by edjones)

How many four-digit groups of numbers can you make with the numbers 1-2-3-4, example:... (answered by jim_thompson5910)

How many groups of 4 can you make from 11 people? (answered by Edwin McCravy)

There are 20 students in the class. How many different seating charts can you... (answered by stanbon)

how many different 4- person groups can Ms. Hagius make from a class of... (answered by stanbon)

How many different parallelograms can you make with an area of 126cm... (answered by solver91311)

how many different triangles can you make with a perimeter of 12... (answered by Fombitz)