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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?

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Answer:

[tex]{n \choose 4}[/tex] where n s the total number of employees

Step-by-step explanation:

Since [tex]{n \choose x}[/tex] 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

[tex]{n \choose 4}=\frac{n!}{4! (n-4)!}[/tex]

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

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