Let 1, V, and denote the AND, OR, and NOT operators, respectively. Consider Xq, X2, ..., Xn {0,1}. An n-variable Boolean function f(x1,x2,...,xn) is symmetric if it is unchanged by any permutation of its variables. The dual function of an n-variable Boolean function f(xq, X2, ..., Zn) is given by F(X1, 72, ..., In). A Boolean function f is self-dual if f(x1, x2,...,xn) = f(x1, x2, ...,xn). Answer the following questions. (c) For an odd integer n, the total number of n-variable Boolean functions which are symmetric and self-dual is 2(n+1)/2 . Let 1, V, and denote the AND, OR, and NOT operators, respectively. Consider Xq, X2, ..., Xn {0,1}. An n-variable Boolean function f(x1,x2,...,xn) is symmetric if it is unchanged by any permutation of its variables. The dual function of an n-variable Boolean function f(xq, X2, ..., Zn) is given by F(X1, 72, ..., In). A Boolean function f is self-dual if f(x1, x2,...,xn) = f(x1, x2, ...,xn). Answer the following questions. (c) For an odd integer n, the total number of n-variable Boolean functions which are symmetric and self-dual is 2(n+1)/2