Different Color Combinations?

Question

^{So I have 11 colors (blue, purple, pink, green , gray, white, black, brown, orange, yellow, red) and I want to know how many different combinations I could have? For example, some combinations would be: red, blue, and green; red and brown; all the colors; red; blue, pink, purple, white, and black.}

Answer 1

Taking 2 colors at a tome, # of combinations = C(11,2) = 55

 

Taking 3 colors at a time, # of combinations = C(11,3)  = 165

 

Taking 4           --------------------------------= C(11,4) = 330

 

Taking 5_____________________________  = C(11,5) =462

 

Taking 6   ----------------------------------------= C(11,6) = 462      

 

7------------------------------------------------------====330      

 

Total = 2025  =55+165+330+462 + 462 + 330 + 165 + 55 +1