SOLUTION: how many ways are there to form a group of 5 students out of a class of 25?

SOLUTION: how many ways are there to form a group of 5 students out of a class of 25?

Algebra.Com

Question 609904: how many ways are there to form a group of 5 students out of a class of 25?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

C(n,r) = (n!)/(r!(n-r)!)

C(25,5) = (25!)/(5!*(25-5)!)

C(25,5) = (25!)/(5!*20!)

C(25,5) = (25*24*23*22*21*20!)/(5!*20!)

C(25,5) = (25*24*23*22*21)/(5!)

C(25,5) = (25*24*23*22*21)/(5*4*3*2*1)

C(25,5) = (6375600)/(120)

C(25,5) = 53130

So there are 53130 ways.
RELATED QUESTIONS
in a class of 15 students, 5 students are chosen to form a group.. how many ways can this (answered by stanbon)

In a class of 25, How many ways can a group of five students be... (answered by jim_thompson5910)

In a class there are 45 ways to make pairs of students. How many students are there in... (answered by ikleyn)

In how many different ways a group of 7 students can be selected from a class 25 students (answered by ewatrrr)

There are 24 students in an MA 206 class at FCC. How many ways are there to select 5... (answered by math_tutor2020)

A class containing 25 students 12 of them are female in how many ways can we select a... (answered by solver91311)

How many ways are there to divide 6 students into a group of 3 students, a group of 2... (answered by ikleyn)

there are 25 students in a fraternity. In how many ways can a committee of 5 students be... (answered by stanbon)

A math teacher will split her class of 15 students into three groups with five students... (answered by ikleyn,greenestamps)