SOLUTION: There is a fraternity of 18 students. In how many ways can a committee of 6 be selected?

Algebra.Com
Question 524237: There is a fraternity of 18 students. In how many ways can a committee of 6 be selected?
Answer by Maths68(1474)   (Show Source): You can put this solution on YOUR website!
Use
Following Formula
nCr=n!/(r!(n-r)!
n=18
r=6
18C6=18!/6!(18-6)!
18C6=18!/6!12!
18C6=18*17*16*15*14*13*12!/1*2*3*4*5*6*12!
Cancel out 12!
18C6=18*17*16*15*14*13/1*2*3*4*5*6*
18C6=13366080/720
18C6=18564 ways


RELATED QUESTIONS

There are 20 students in a fraternity. In how many ways can a committee of 11 students be (answered by stanbon)
there are 25 students in a fraternity. In how many ways can a committee of 5 students be... (answered by stanbon)
there are 19 students in a fraternity. in how many ways can a committee of 11 students be (answered by TimothyLamb)
there are 19 students in a fraternity. how many ways can a committee of 7 students be... (answered by edjones)
There are 24 students in a fraternity. In how many ways can a committee of 6 students be... (answered by ewatrrr)
If there are 22 students in a frat house. In how many ways can a committee of 9 be... (answered by jim_thompson5910)
in how many ways can a social committee of 4 students be... (answered by palanisamy,happygirl123)
There are 5 boys and 4 girls in a class. A committee of 5 is to be selected such that... (answered by edjones)
Find the number of ways in which a committee of 4 can be selected from among 45 members... (answered by manu17)