Hi, I am new here hoping to find someone who can help. I am an artist working mainly in Geometric forms. My work follows a set grid and I want to use math to work out all the possible combinations of my grid. Math generally makes my head hurt, so I am hoping someone can explain in real simple terms how to work this out! My grid is a square split into 16 sections. I would like to know how many possible combinations could be made by coloring one section, or combinations of more than one section. E.g. I know I could produce 16 paintings by colouring one different section on each painting and leaving the others blank. But what if I colour sections 1 and 8 and leave the others blank, or sections 1, 8 and 11….etc. How many possible paintings are there? Can I work this out using a simple formula (if such a thing exists?!) Is it thousands?! (If it's easier to explain with a smaller number maybe start with 4 sections!) Thanks.