# Set Theory Question

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>