Question: (4) Consider the set S = {x | (EN) and (1 x 1000)} (i.e. S = {1,2,3,..., 1000}). We are interested in subsets of

(4) Consider the set S = {x | (EN) and (1 x 1000)} (i.e. S = {1,2,3,..., 1000}). We are interested in subsets of S each of which has 50 elements. In how many such subsets (4a) (4 pts) 500 is the largest? (hint: Clearly, 500 is in there. The rest?) (4b) (4 pts) 200 is the smallest and 501 is the largest?

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