SOLUTION: how many subsets can be found in set A={1,3,5,7,11}

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Question 1000787: how many subsets can be found in set A={1,3,5,7,11}


Found 2 solutions by fractalier, ikleyn:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Normally it is given by 2^n, where n is the number of distinct members of the set...thus
2^5 = 32
Another way is to look at how many of each size you can make...
1+5+10+10+5+1=32
This calculation includes the empty set as a subset...some teachers do not accept this...

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The set consisting of  n  elements,  has  2%5En  subsets,  including itself and the empty subset.

The set consisting of  5  elements  (the given case),  has  2%5E5 = 32  subsets,  including itself and the empty subset.

See the lesson  How many subsets are there in a given finite set of n elements?  in this site.