permutation and probability

5. What are the benefits of using the indirect method to count arrangements? Provide an example within your explanation (do not use an example identified in this assignment) C[3 marks] 6. Explain (in words) the steps you would take to answer the following question Question. From a group of 20 people, what is the probability that at least two of them share the same birthday? C[5 marks] 7. Four players each cut one card from a standard deck. If order is important, in how many ways could they be numbered cards or spades? A[3 marks] 8. In how many ways could rearrange the letters in "PLANTER" a. If there are no restrictions? A[2 marks] b. If the vowels must remain in the same order? A[3 marks] c. If the vowels cannot be together? A[4 marks]