Question 1: Write a C++ program that provides the user with the following interface: welcome Choose an option from a to c! a Vowels checker b. Strong number checker c Solve a series Note: The program should redisplay the menu after the execution of any option until e is pressed a. Write a program that can accept any character from the keyboard, and check wether it is vowel OR constant OR not an alphabet. b. Write a program to check whether a number is strong number or not. Note: Strong number is a special number whose sum of factorial of digits is equal to the original number Example: 145 is strong number since 1! + 4 + 51 - 145 124 is not a strong number since 1! + 2! + 4! not equal 124 c. Write a program that solves the following series: et = 1+x+ x2 x3 + 2! 3