# Answer to Question #3672 in Algebra for Jermaine Slater

Question #3672

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

Expert's answer

The total number of subsets is

C

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.

C

_{6}^{30}= 30!/6!(30-6)! = 30!/6!24! = 593775The 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.

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