given that 7 element set a = 1234567 find the collection of t of 3 elements subset of aA such that each pair of element a occurs exactly in one the subset of T

Given: Element set a = {1,2,3,4,5,6,7}.

Now, 

By taking any 3 elements of the set to make a list or collection of a 3 element subset, that is 

{1,4,7} or  {2,3,6} etc..

Therefore, the number of subsets are

Thus, there are 35 different unique 3 element subsets of a 7 element set. 

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