# mathematics

posted by .

Let A be a subset of T={1,2,…,100} subject to the condition that if 2 distinct elements a and b are in A, then a+b is not in A. What is the maximum value of |A|, which is the number of elements in A?

## Similar Questions

1. ### elmentary math for educators

Suppose B is proper subset of C. If n(c)=8, what is the maximum number of elements n B?
2. ### Math(Subsets)

Part 1 I have to use symbols in my anwser Suppose B is proper subset of C If n(c)=8, what is the maxium number of elements in n (B) What is the least possible numbers of Elements in B?
3. ### Survey of Mathematics

Give an example of a subset and a proper subset. Explain the difference between a subset and proper subset. plz help
4. ### geometry!!!!

Let A be a subset of T={1,2,…,100} subject to the condition that if 2 distinct elements a and b are in A, then a+b is not in A. What is the maximum value of |A|, which is the number of elements in A?
5. ### geometry!!!!

Let A be a subset of T={1,2,…,100} subject to the condition that if 2 distinct elements a and b are in A, then a+b is not in A. What is the maximum value of |A|, which is the number of elements in A?
6. ### Maths

For a set of numbers T, we say that T has distinct subset sums if all distinct subsets of T have distinct sums. How many subsets of {1,2,3,4,5,6,7,8} have distinct subset sums?