SOLUTION: My problem says this: Without writing them all out, what is the number of subsets of set A ={king, queen, knight, prince, princess, duke}? Could you help me with this please?

Question 481365: My problem says this:
Without writing them all out, what is the number of subsets of set A ={king, queen, knight, prince, princess, duke}?
Could you help me with this please? Thank you so much.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Set A has six elements. To choose a subset, we can choose whether we want king to be in the subset or not; we can choose whether we want queen to be in the subset or not, and so on. This leaves 2*2*2*2*2*2 = 64.

Or we can go case-by-case where we choose zero-element subsets, one-element subsets, etc. in which the number of subsets is 6C0 + 6C1 + ... + 6C6, also equal to 64.
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