Twelve students are applying for two summer internships. How many different ways can these two positions be filled? O 66 40 O 86 O 132

Mathematics · High School · Sun Jan 24 2021

Answered on

Formula: 

nCr = n!/r!(n-r)!

We have,

n = 12 

r = 2

So,

12C2 = 12!/2!(12-2)!

= 12 × 11 × 10!/2 × 10!

= 66

 

Hence, two positions can be filled in 66 different ways.