(5) Write a for loop that select the greatest value in a list of n random natural numbers each of which is no greater than m. Only provide a snippet of code for the for loop, no additional code necessary. (6) Consider we have a class declaration in a header file algorithm.h. What is the appropriate syntax to include this header file in our main program source file. #include (b) #include (c) #include "algorithm.h" (7) Consider two arrays of size n of type bool. Each array is randomly initialized to a collection of n Boolean values (either true or false). We want to write an algorithm that determines how many times both arrays are set to true at any given index. Let's say we have array A and array B as below. A = (aola...an-1] B = [bo] [bu...br-1] We want to check if de and bo are both true, and b, ate both true ....finally, and are both true. Which of the below for loops most effectively counts the number of indexes at which A and B are both true. (10) If we list all permutatires fat n = 4 as below (1.2.3.4) (1.2.4.3) (1.3.2.4) (1.3.4.2) bool in // Asume A Initialized bool bind // Assume Initialized int set - 0; for (int 0; i) where is even Write an algorithm to determine the sum of the first values in the permutation. You can initialize the list manually to a permutation of choice as you develop the algorithm. As a response to the question, complete the below listed section labeled Implementation V/Example for //any possible permutation is valid int permutation - 17.5,2,5,1,3,4,6 int sum - 0; Implementation / 9) Alter your answer for (8) to determine the sum of second collection of values in the permutation given your statically initialized list