1. If there are 3 candidates for mayor and 5 candidates for deputy mayor, how many ways could the two jobs be filled?

2. Frank has three jackets, four caps and five pairs of shoes. How many different outfits could he choose?

3. Four coins are tossed and the results recorded. How many different possible outcomes could there be?

4. In a race there are 10 contestants. In how many different ways could the first three positions be at the finish?

5. In Great Britain, car number plates used to be three letters followed by three digits.

How many different number plates could be created?

6. A bank requires you to construct a **PIN** (Personal Identification Number) which has to be made up of four digits and the first digit cannot be zero and the same digit cannot be used more than once. How many such numbers could you pick from?

7. In how many ways can 6 people sit at a round table?

8. In how many ways can the letters of the word **RANDOM** be arranged in a line?

9. On a bookshelf, there are 3 novels and 6 non-fiction books. How many ways can the books be arranged so that the novels are together?

10. In how many different ways can the letters of the word **ARRANGING** be arranged?