Consider a function ite

$($ if then else$)$

Write the lambda expression for a function iteite $($for if then elseif then else$)$ which takes five arguments: a boolean, an expression to evaluate if the boolean is true, another boolean, an expression to evaluate if the second boolean is true, and a third expression to evaluate if both booleans are false. You may assume that a correct implementation of function ite from $($a$)$ is available to you, and use it if you like.