Assume that the operators +,-, X are left associative and ^ is right associative. The order of precedence (from highest to lowest) is ^, X, +, -. The postfix expression for the infix expression a + b X c – d ^ e ^ f is?

(a) abc X+ def ^^ –

(b) abc X+ de^f^ –

(c) ab+c Xd – e ^f^

(d) -+aXbc^ ^def

Please solve with an explanation.