Consider all length 7 binary strings. Let A; be the collection of all such strings in which the length 3 substring 011 occurs startıng at position i. There will be non-empty A;. If A; is not empty,...

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Extracted text: Consider all length 7 binary strings. Let A; be the collection of all such strings in which the length 3 substring 011 occurs startıng at position i. There will be non-empty A;. If A; is not empty, then |A;| will be There will be non-empty A, nA, with i +j. If A; NA, is not empty and i + j, JA; nA;| will be There will be non-empty A; n A; nAg with i, j, k distinct. If A; NA; NAg is not empty and i, j, k are distinct, JA; NA; N Ag| will be . If all triple intersections are empty, answer 0. There are binary strings of length 7 contain the substring 011?