SOLUTION: how many subsets are in A = {king, queen, knight, prince, princess, duke, earl, duchess}? I wanna say there are 8 subsets but im just now sure confused....

Algebra ->  Subset -> SOLUTION: how many subsets are in A = {king, queen, knight, prince, princess, duke, earl, duchess}? I wanna say there are 8 subsets but im just now sure confused....      Log On


   

Question 573318: how many subsets are in A = {king, queen, knight, prince, princess, duke, earl, duchess}?
I wanna say there are 8 subsets but im just now sure confused....
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
There are eight elements in set A. Any subset of A will either

contain the king or not contain the king (2 possibilities)
contain the queen or not contain the queen (2 possibilities)

and so on. This leaves 2^8 = 256 possibilities (including the empty set and set A).