(Factorials) The factorial function is used frequently in probability problems. The factorialof a positive integer n (written n! and pronounced “n factorial”) is equal to the product of the positive integers from 1 to n. Write a program that evaluates the factorials of the integers from 1 to 5.Print the results in tabular format. What difficulty might prevent you from calculating the factorialof 20?

(C PROGRAMMING ONLY) 6. Deal or No Deal?by CodeChum Admin When I was a kid, I used to watch this TV game show, Deal or No Deal? In the game, there are different brief cases, each labeled with a number. Inside each brief case is an amount in Pesos and the goal is to guess which briefcase contains the smallest amount.   In this program, instead of just finding the smallest amount, your task is to ask the user for an integer input and print the values in the array smaller than the inputted integer.   Instructions: In the code editor, you are provided with an array with 100 elements.Your task is to ask the user for an integer input and then print all the elements in the array whose value is lesser than the inputted integer.Input 1. Inputted integer Output Enter value: 6132450351503022244

BOOLEAN EXPRESSION.( NEED ONLY HANDWRITTEN SOLUTION PLEASE OTHERWISE DOWNVOTE).

(Display Magic Numbers) Display the first N magic numbers, where N is a positive number that the user provides as input. Here, a magic number is a number whose sum of its digits eventually leads to 1. For example, 1234 is a magic number because 1+2+3+4 = 10 and 1 +0 = 1, while 1235 is not (1 +2+ 3 +5 = 11 and 1 +1 = 2). Write a program that prints out the first N magic numbers, seven on each line. Here is the sample output: Enter a positive integer number: 30 1 10 19 28 37 46 55 64 73 82 91 100 109 118 127 136 145 154 163 172 181 190 199 208 217 226 235 244 253 262 You are required to use the following function prototype: bool isMagic(int value); // Returns true if value is a magic number The outline of this function will be as follows: Step 1: Calculate the sum of digits of value Step 2: Repeat Step 1 until we get a single digit Step 3: If the resulting sum is equal to 1 then it is a magic number, otherwise not