Using C#, write a console based application that takes one integer from user’s input and calculate the number of 0 contained in the factorial. For example, if users’ input is 10, then the factorial of 10 is 5!=10*9*8*7*6*5*4*3*2*1 = 3628800 So, the number of 0s is 2.

In previous chapters, you created applications for the Greenville Idol competition. Now, modify the version of the GreenvilleRevenue program created in Chapter 5 so that after the user enters the number of contestants in this competition, the user is prompted for the appropriate number of contestant names and a code for each contestant that indicates the type of talent: S for singing, D for dancing, M for playing a musical instrument, or O for other. Make sure that all entered codes are valid, and if not, reprompt the user to enter a correct code. After contestant data entry is complete, display a count of each type of talent. Then, continuously prompt the user for a talent code until the user enters a sentinel value. With each code entry, display a list of the contestants with that code, or display a message that the code is not valid and reprompt the user.

In Chapter 4, you created a program that generates a random number, allows a user to guess it, and displays a message indicating whether the guess is too low, too high, or correct. Now, create a modified program called GuessingGame2 in which the user can continue to enter values until the correct guess is made. After the user guesses correctly, display the number of guesses made. Recall that you can generate a random number whose value is at least min and less than max using the following statements: Random ranNumber = new Random(); int randomNumber; randomNumber = ranNumber.Next(min, max);

a. Write a program named CheckMonth that prompts a user to enter a birth month. If the value entered is greater than 12 or less than 1, display an error message; otherwise, display the valid month with a message such as 3 is a valid month. b. Write a program named CheckM0nth2 that prompts a user to enter a birth month and day. Display an error message if the month is invalid (not I through 12) or the day is invalid for the month (for example, not between 1 and 31 for January or between I and 29 for February). If the month and day are valid, display them with a message.