(subject is Combinations and Permutations )

1. There are six runners in a race. In how many ways may the runners come in first and second place?(1 mark)

2. In how many ways can the teacher choose a leader if she has 11 students in her class? (1 mark)

3. In how many ways can 4 people line up if two of the people refuse to stand next to each other? (1 mark)

4. In how many ways may 4 couples form a circle for a square dancing? (1 mark)

5. How many permutations are there of the letters in the word "counts"? (1 mark)

6. How many permutations are there of the letters in the word "possible"? (1 mark)

7. How many distinct permutations are there of the word "bookkeeper"? (1 mark)

8. How many distinct permutations of the word "essence" begin and end with the letter E? (3 marks)