SOLUTION: 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}? I did not understand this question at all.. I

Question 202305This question is from textbook
: 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}?
I did not understand this question at all.. I go to school online so I do not get any help of any kind. I read all through my math book but I am so not getting this.. Can you please help?? This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started

Recall, the number of subsets for set A is where is the number of elements in set A.

So basically, to find the number of subsets for set A, simply count the number of elements in set A and then raise that number as a power with 2 as the base.

To save ourselves from writing out every subset (and potentially making mistakes), we can simply use the given formula to find the number of possible subsets.

Since n(A) = 5, this means that the possible number of subsets for A is

So there are 32 possible subsets for A

Note: even though set A has 5 elements, this generates 32 possible subsets. So we have saved ourselves from a lot of busy work.

------------------------------------------------------------------------------

Here's a much simpler example:

Let A = {a, b, c}

The subsets of A are:

{a, b, c},
{a, b}, {a, c}, {b, c},
{a}, {b}, {c},
{ }

So there are 8 subsets

Take note that . In other words, there are 3 elements and 2 cubed gets us 8 possible subsets.
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