The set \(S\) is defined as \(\{1, -2, -3, 8, 21, 30, -22, -5, 6, -11\}.\) The \(\chi\) of set is defined as the product

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The set \(S\) is defined as \(\{1, -2, -3, 8, 21, 30, -22, -5, 6, -11\}.\) The \(\chi\) of set is defined as the product of any \(3\) elements of the given set \(S.\) How many values of \(\chi\) are possible such that \(\chi\) is at least \(7?\)

A. \(50\)
B. \(59\)
C. \(60\)
D. \(61\)
E. \(120\)

Answer: B

Source: e-GMAT
Source: — Problem Solving |