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  • A company has 5 employees who are eligible for a promotion. If the company wants to promote 2 employees, how many different pairs of employees can be promoted?

A company has 5 employees who are eligible for a promotion. If the company wants to promote 2 employees, how many different pairs of employees can be promoted?

Option: 1

10
 


Option: 2

12


Option: 3

14

 


Option: 4

15


Answers (1)

best_answer

We can use the combination formula:
\mathrm{ { }^n C_r=\frac{n !}{r !(n-r) !} }
Therefore, the number of different pairs of employees that can be promoted is:
\mathrm{ { }^5 C_2=\frac{5 !}{2 !(5-2) !}=10 }
Therefore, there are 10 different pairs of employees that can be promoted.

 

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