Question

The binomial coefficient Subscript n Baseline Upper C Subscript x gives the number of ways of picking a subset of x items out of n. Using this​ fact, how many ways are there to pick a committee of 4 from among all of the office​ employees?

Answer 1

`{n \choose 4}` where n s the total number of employees

Explanation:

Since
`{n \choose x}` gives the number of ways you can pick a subset of x elements from n.

remember in order to calculate the combination number ( for example if you know the number of office employees) is

`{n \choose 4}=(n!)/(4! (n-4)!)`

using that 4! =1*2*3*4 and same idea for n!