Evaluate ""^3C_1 ?

3
2
6
1

1 Answer

C_(3,1)=(3!)/((1!)(3-1)!)=(3!)/(2!)=6/2=3

Explanation:

I write combinations as:

C_(n,k)=(n!)/((k!)(n-k)!) with n="population", k="picks"

and so

C_(3,1)=(3!)/((1!)(3-1)!)=(3!)/(2!)=6/2=3

I don't understand the additional numbers in the explanatory text box - but I hope the above will clarify what you are looking to calculate.