



 
Snehal, 1. Each time you add a member to the set (in other words each time n increases by one), all the previous subsets still exist which do not include the number n, but now you can add the element n to each of them. This doubles the number of possible sets. 2. Hint: Think in binary: each member may be either in the subset or not in the subset. How many members are there? For help with the induction part of the question, take a look at our other induction questions in our archive for examples. Cheers,  


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