The maximum possible number of elements in B = 68.
A subset B of the set of integers from 1 to 100, inclusive, has the property that no two elements of B sum to 137.
Maximum possible number of elements in B =?
Set of integers = {1, 2, 3, 4, 5......100}
If we divide 137/2 = 68.5
If we add 68+69 = 137
So, we cannot consider number 69 in the subset, it gives us the total numbers we can consider are till 68.
Set B = {1,2,3,4,5,6,7....60,61,68}.
The maximum possible number of elements in B = 68.
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