Set Theory: Proving D has 2^d Subsets of Cardinality d

[Punkyc7]

Let D be a set that has cardinality d WTS that D has 2^{d} subsets of cardinal number d.


So I was thinking about slitting D into two sets C_{1} and C_{2} both of cardinality d. From there I think that there are d^{d} subsets that contain C_{1}. Since d is an infinite cardinal d^{d}=2^{d}.

Does that work or am I missing something>

 

[HallsofIvy]

I have no idea what your question is. What does 'WTS' mean? And what are you trying to do?

 

[Punkyc7]

want to show what I said I want to show. Were is the confusion?