Consider the quadratic equation (c - 5)x...

Consider the quadratic equation `(c - 5)x^(2) - 2cx + (c - 4) = 0, c ne 5`. Let S be the set of all integral values of c for which one root of the equation lies in the interval (0, 2) and its other root lies in the interval (2, 3). Then the number of elements in S is

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