Given the sets C and D where...?

C = { {1}, 2}


D = {3, 4, 5}





list the contents of


1) D x C


2) P(C), the power set of C

Given the sets C and D where...?
1) What do you mean by x? Is that the intersection?


C and D have no elements in common, so there intersection is the empty set.





2) The power set, P(C), is the set of all the subsets of C.


There are two elements in C, so there will be 2^2 = 4 subsets.


P(C) = { {empty set}, {{1}}, {2}, {{1}, 2} }





I agree with the answerer below for #1.
Reply:If by 'x' you mean the cartesian product, D × C is as follows:


(3, {1}),


(4, {1}),


(5, {1}),


(3, 2),


(4, 2),


(5, 2).


Feel free to email me for further clarifications.





And MsMath is right-on with the power set.