1. How many ways can you arrange the letters of the word 'factor'?

2. How many ways can a teacher select 5 students from a class of 23 students to create a bulletin board?

3. How many ways can Laura colour a map with 4 adjacent regions if she has 15 colored pencils?

4. How many different sets of 6 questions for a test can be chosen from a file containing of 22 questions?

5. A video store has 27 new release movie posters. How many ways can the manager choose 8 for promotions that gives away to the same person?