Four different structural systems are given $($all segments are beam segments$).$ Determine the

degree of indeterminacy for each one. $[(\backslash$alpha $)$ A$-$hinge, B$-$clamped, C$-$internal hinge, $(\backslash$beta $)$ A$-$roller, B$-$hinge, C$-$fixed,

D$-$internal hinge, $(\backslash$gamma $)$ A$-$fixed, B$-$roller, $(\backslash$delta $)$ A$-$hinge, B$-$internal hinge, C$-$clamped, D$-$roller$]$