Answer each of the following questions with full clear explanations.

4 2 + 0! 1. Evaluate: 3! (2 marks: 1 for reducing, 1 for evaluating factorials) 2. How many 4 letter arrangements can be made from the letters M I L K E D? (1 mark for the correct number of arrangements) 3. How many different 6-digit numbers can be formed from the numbers 2 5 6 2 7 2? (2 marks: 1 for the permutation set up, 1 for evaluating factorials) (3 marks: 1 for reducing factorials, 1 (n + 1)! mark for algebraic 30 4. Solve for n: (n - 1)! simplification, 1 for solving for considering all possible values of n) 5. Construct a permutation question, and solution, that