I will answer:



Compute the number of subsets for these sets:

A={1,2,3,4}

B={a,b,c}

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For a set of n elements, there are   subsets.  This comes from having a choice to include or exclude each element in any given subset.

Set A has four elements so there are   subsets.  



[ For the number of proper subsets, the answer is  because we exclude the one case of choosing every element. ]



Set B has three elements, apply the same idea.  You may want to list out the subsets themselves to prove to yourself there are  subsets. 

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