Solve the following: a. How many permutations of all 26 letters of the alphabet are there that contain at least one of the words: CAR, CART, SCARF, SCARE, SCAR? b. How many permutations of all 26 letters of the alphabet are there that contain at least one of the words: MAZE, SWORD, PLANT, CARTS? Solution This computer science but: a) The answer should be Factorial(24) i.e . factorial of 24. It can be solved by formulating a simple recurrence relation. b)(26C4+26C5+26C5+26C5)/26!. It can also be seen as a recurrence relation and solved..