2) Write a recursive program to obtain the nth order Fibonacci sequence number. Include appropriate input/output statements to track the variables participating in recursion. Do you observe the “invisible” stack at work? Record your observations.

The Tower of Hanoi is a puzzle where n disks of different sizes arestacked in ascending order on one rod and there are two other rods with nodisks on them. The objective is to move all disks from the first rod to thethird, such that:- only one disk is moved at a time- a larger disk can never be placed on top of a smaller oneWrite a recursive function that outputs the sequence of steps needed tosolve the puzzle with n disks.Write a test program in C++ that allows the user to input number of disks andthen uses your function to output the steps needed to solve the puzzle.Hint: If you could move up n−1 of the disks from the first post to thethird post using the second post as a spare, the last disk could be moved fromthe first post to the second post. Then by using the same technique you canmove the n−1 disks from the third post to the second post, using the firstdisk as a spare. There! You have the puzzle solved. You only have to decidewhat the nonrecursive case is, what the recursive…

1. Given, nCr= n! (n-r)!r!" Write a function to compute nCr without recursion.

Attached is a programming question and its Java solution. My question regarding the recursion part:      1. "arr.add(j)" but then "arr.remove(arr.size() - 1)" follows soon after, and I think nothing should be printed. How does the program still print out permutations? Is it because the recursive method call only recurse all instructions from the start of the recursion method to that line? Otherwise, say the input is "5", how does "5=1+1+1+1+1" get printed?      2. Does the recursion stop when "j<=n" evaluates false because of "for(int j = i; j <= n; j++)"? Otherwise, which line of code tells the recursion to stop?