What is a power set? And please give an example of power set. Answer: For the set {a,b,c}: The empty set {} is a subset of {a,b,c} And these are subsets: {a}, {b} and {c} And these are also subsets: {a,b}, {a,c} and {b,c} And {a,b,c} is a subset of {a,b,c} And altogether we get the Power Set of {a,b,c}: P(S) = { {}, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c} } Step-by-step explanation: Example: The shop has banana, chocolate and lemon ice cream. What do you order? Nothing at all: {} Or maybe just banana: {banana}. Or just {chocolate} or just {lemon} Or two together: {banana,chocolate} or {banana,lemon} or {chocolate,lemon} Or all three! {banana, chocolate,lemon}