evaluate C (6,2)

Question

Algebra 2 prob/stat

Answer 1

Hi Summer,

 

C(6,2) is, I assume, a way of writing 6 choose 2.  If so, then here we go!

 

By definition,

C(6,2) = 6! / (2! x (6-2)!)

          = 6! / (2! x 4!)

          = 6x5 x 4! / (2! x 4!)

Canceling the 4! from the top and bottom, we have

C(6,2) = 6x5 / 2!

          = 6x5 / (2x1)

          = 3x5

          = 15.

 

I hope that helps.

 

Regards,

Mike N.