write a recursive function named choose (int n,int k) that will compute and return the value of the binomial coefficient. write it as a C++ function on the computer
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A: I have provided C CODE along with CODE SCREENSHOT and 2 OUTPUT SCREENSHOTS---------------
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- (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.Write a program that asks a number “N” from user. Write a function that takes this number “N”, then returns the sum of numbers starting from N to 1. Use this function in your program and show the results. Be careful, your function should be recursive! I need code on C programmingWrite a recursive function called Mod which takes two positive integers argument (aand b) and returns a % b – the remainder of a dividing by b. You may not use a remainderoperator or built-in function.
- Write a recursive function that returns true if the digits of a positive integer are in increasing order; otherwise, the function returns false. Also, write a program to test your function.write a recursive function factorial that will take an integer value n as an argument, and will return n! . write it as a C++ function on the computer. Then write a short C++ program that will call your function and display the factorial of 10.Write a recursive function named sumSquares that returns the sum of the squares of the numbers from 0 to num, in which num is a nonnegative int variable. Do not use global variables; use the appropriate parameters. Also write a program to test your function.
- Write a function which takes two integer parameters for values to be added together and returns the result by value. The function may not print anything or read anything directly from the user (i.e. no cin/cout in the function). Assume that the values passed to the function will not be negative, but could be 0 or positive, and will both be integers. The function must implement addition recursively, and cannot use the standalone + operator (only ++) or call any other functions.Write a recursive function, sumDigits, that takes an integer as a parameter and returns the sum of the digits of the integer. Also, write a program to test your function.Write a recursive function, reverseDigits, that takes an integer as a parameter and returns the number with the digits reversed. Also, write a program to test your function.
- Write a recursive function that returns the sum of the digits of an integer.int sumOfDigits(int x);in c++ The Fibonacci number is the one in which each number is the sum of the two precedingnumbers. An example is shown below:0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...Write a recursive function that prints the first fifteen Fibonacci numbers. Your functionmust be recursive. Note that the first three Fibonacci numbers are 0, 1, 1, but after that ,the Fibonacci number is n = n - 1 + n - 2. Note that you will write only a function.Write a recursive function that parses a hex number as a string into a decimal integer. The function header is as follows:def hexToDecimal(hexString):Write a test program that prompts the user to enter a hex string and displays its decimal equivalent.
