Java: Generator of true's & false's combinations by giving the number N;

Question

I tied to simplify the task as much as possible, so I could apply it to my algorithm.

And here is the challenge for mathematicians and programmers:

I need to

Answer 1

Just a clue but think about the bits that are set for a number with at most 'n' bits. You'll see if you go from 0 to 'n' number of bits (3 in this case); the bits are 000, 001, 010, 011, 100, 101, 110, 111. You can figure out the max number that can fit in 'n' bits by using the ((n*n)-1) formula.