Answer to Question #3672 in Algebra for Jermaine Slater

Question

What are the Subsets with only six elements of the number sequence 1-30 ?

Answer 1

The total number of subsets is
C₆³⁰ = 30!/6!(30-6)! = 30!/6!24! = 593775
The subset is for example 1 2 3 4 5 6 or 9 8 7 6 5 2.
We consider that the subsets with the same elements but different order of elements are the same.