Question 206818This question is from textbook
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1. Without writing them down, what are the number of subsets of the set A = {a, b, c, d, e}? Of set B = {a, b, c, d, e, f, g, h, i}?
This question is from textbook
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website! 1. Without writing them down, what are the number of subsets of the set A = {a, b, c, d, e}? Of set B = {a, b, c, d, e, f, g, h, i}?
When making a subset, there are two choices you must
make for each element in A or B. Those 2 choices are:
1. Include it as an element in the subset you are making
2. Do NOT include it as an element in the subset you are making.
There are 2 choices for element a, 2 choices for element b,
2 choices for element c, 2 choices for element d, and 2 choices for
element e.
That's  or 32 subsets. That counts the empty or null set
because that's the case where we do not use any of them in the subset
we are making. It also includes the entire set, because that's the
case when we choose them all.
Use the same principle for the subsets of B.
There are 9 elements in B, so the answer is  or 512 subsets.
Edwin
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