SOLUTION: How many different ways can a committee of 3 be selected from among the 55 staff members at a bank?

Question 580519: How many different ways can a committee of 3 be selected from among the 55 staff members at a bank?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
C(n,r) = (n!)/(r!(n-r)!)

C(55,3) = (55!)/(3!*(55-3)!)

C(55,3) = (55!)/(3!*52!)

C(55,3) = (55*54*53*52!)/(3!*52!)

C(55,3) = (55*54*53)/(3!)

C(55,3) = (55*54*53)/(3*2*1)

C(55,3) = (157410)/(6)

C(55,3) = 26235

So there are 26235 different ways to form the committee (assuming order doesn't matter; ie, each member of the committee is of the same rank)
RELATED QUESTIONS
. In how many different ways can a committee of four be selected from 72 staff members... (answered by stanbon)

A student council must select a two-person welcoming committee and a three-person... (answered by stanbon)

A company has 6 officers and 3 directors (9 different people). In how many ways can a... (answered by Boreal)

How many different committees can be formed from 6 teachers and 38 students if the... (answered by greenestamps)

1. In how many ways can a committee of 3 faculty members and 2 students be selected from... (answered by palanisamy)

Find the number of ways in which a committee of 4 can be selected from among 45 members... (answered by manu17)

A five-member committee is to be selected from among four representatives of management... (answered by VFBundy)

How many different ways can a club choose a committee of 4 from 15... (answered by Alan3354)

A committee of five people must be selected from five men and eight women. How many... (answered by stanbon)