Choose Two. No Eleven.
How many subsets of
have the property that no two elements of
sum to
?
The answer is 243.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Consider splitting the set into the 5 subsets that sum up to 1 1 . Note that we can choose either element to be in the subset, or neither, but not both. There are 3 possibilities for each subset, so there are 3 5 = 2 4 3 total possibilities.