1.
Consider the quadratic equation
(c−5)x2−2cx+(c−4)=0,c≠5.(c-5)x^2 - 2cx + (c-4) = 0, \quad c \neq 5.

Let SS be the set of all integral values of cc for which one root of the equation lies in the interval (0,2)(0, 2) and its other root lies in the interval (2,3)(2, 3). Then the number of elements in SS is