Matrices And Determinants

Let \(M = \left\{ {A = \left( {\matrix{ a & b \cr c & d \cr } } \right):a,b,c,d \in \{ \pm 3, \pm 2, \pm 1,0\} } \right\}\). Define f : M \(\to\) Z, as f(A) = det(A), for all A\(\in\)M, where z is set of all integers. Then the number of A\(\in\)M such that f(A) = 15 is equal to _____________.