The question of how many ways a committee of 4 people can be selected from a group of 10 is known as a combination. The notation in general for counting the number of ways of selecting r items from a group of n is C(n,r) = n! / r!(n-r)!
Also, given that 0! = 1 by definition, we can show that C(n,0) = 1 = C(n,n)
Also, C(n,r

Solutions to some problems are intrinsically recursive, and writing them in an iterative fashion is difficult. The reverse also holds. Find an example or a recursive procedure and represent it as an iterative procedure. Also, choose an iterative procedure that you would re-write as recursive. What challenges did you face in the

A. Design a recursivealgorithm whose input is a decimal integer and whose output is the binary representation of the input.
b. Design a recursivealgorithm that computes the reverse of the result in (a) - that is, converts a binary integer to its decimal equivalent.

Implement two recursivealgorithms to solve the following problems:
Problem 1: Implement a recursivealgorithm to find the maximum element of given integer array A. Count the number of comparisons while finding the maximum element and print input size, maximum element, and number of comparisons.
Example: integer array A=[1

** Please see the attached file for the complete problem description **
Please prepare a simple and basic MATLAB code for the 2 attached problems. M-file and word documents with comments will help me understand the codes better.
Thank you.
3) Write a recursive function computing the sum of cubes of all integers between 1 an

A palindrome consists of a word or deblanked, unpunctuated phrase that is spelled exactly the same when the letters are reversed. Write a recursive function that returns a value of 1 if its string argument is a palindrome.
Notice that in palindromes such as level, deed, sees, and Madam I'm Adam(madamimadam), the first letter ma

Write a recursive function "sumDigits" in C++, that receives an integer as argument by reference and returns the sum of digits representing this integer. Also write a main function to test this function.
Example output of program should look like following.
Enter a nonnegative integer: 23
The sum of the digits of 23 is 5

(1) Write a recursive function to generate a patter such as the following pattern:
*
**
***
****
****
***
**
*
The program should prompt the user to enter the number of lines in the pattern. Enter 4 should generate the above pattern.
(2) Write a recursive function to generate a patter such as the following patte

I need the following problem in C++ with a recursive function and a driver programe to test the function ?
* A recursive program to calculate the Greatest
Common Divisor of two integers using the Euclidean Method.
The algorithm in non-recursive form is as follows:
EuclidGCD(a,b) {
while (b not 0) {
swap(a,b)
b = b