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 for algorithm so that algorithm could updated randomly.

Best Regards

[Stephen23]

Mohsen's "Answer" moved here:

that is tru. but i need to define a number interval that alorithm could be abled to select a point of them randomly.then i will convert that point into a vector include 24 elements with four ''1'' in the fintness funtion section. How do i define the interval and point format?

i can not change algorithm input format and only can define number interval.