# Combi-natrics-4

How many subsets $$A$$ of $$\{1,2,3,...,100\}$$ have the property that no subset of $$A$$ sum to $$101?$$

Note by Ayush Rai
1 year, 11 months ago

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1023, not including the empty set.

- 1 year, 11 months ago

I have edited the question now.Try it and also the other two parts of Combi-natrics.

- 1 year, 10 months ago

I wouldn't consider the empty set a subset.

- 1 year, 11 months ago

- 1 year, 11 months ago

1024

- 1 year, 11 months ago

I have edited the question.Try it and also the other two parts of combinatrics.

- 1 year, 10 months ago

i think you right.$$2^{10}=1024.$$somewhat like that?

- 1 year, 11 months ago