Consider the quadratic equation (c - 5)x2 - 2cx + (c - 4) = 0, c ≠ 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:
(1) 18
(2) 12
(3) 10
(4) 11
