What is the number of non-empty subsets of list \(S\) possible such that a subset does not contain consecutive numbers?

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List \(S = \{1, 2, 4, 5, 7, 8\}.\)

What is the number of non-empty subsets of list \(S\) possible such that a subset does not contain consecutive numbers?

(A) 77
(B) 48
(C) 36
(D) 32
(E) 26

Answer: E

Source: GMAT Club Tests
Source: — Problem Solving |