Defining binary number as input

Dear friends

There is a problem. i have an hyuristic optimization algorithm. i have to determine input dimention and its max and min.

a possible state can be

[0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0]

or

[0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0]

or....

there are four swing '1's in this vector and total possible state is equal 10626 (cobination 4 of 24). how i define number and its dimention.

Best Regards