subject is Combinations and Permutations

1. A middle school basketball team plays 20 games during the season. In how many ways can it end the season with ten wins, nine loses and one tie?

2. If 9 people eat dinner together, in how many different ways may three order salmon, four order salad, and two order steak?

3. A True-False test has 10 questions. In how many ways may a student complete the test: (5 marks) a. if he answers each question?

a. if he answers seven questions incorrectly and 3 correctly?

b. if he answers 5 questions correctly and 5 incorrectly?

4. Among the nine nominees for three vacancies on the city council are five women and four men. In how many ways may these vacancies be filled: (5 marks)

a. with any three of the nominees?

b. with any three of the women?

c. with one of the men and two of the women?

5. Sheila owns 3 pairs of pants, 5 shirts and 2 sweaters. In how many ways may she choose two of the pairs of pants, four of the shirts and one of the sweaters to pack for a trip?

6. In how many ways may two 100%'s, three 90%'s, one 80%'s and two 40% be distributed among eight students?

7. An art collector, who owns 8 original paintings, is preparing a will. In how many ways may the collector leave these paintings to four heirs?

8. Billy has a truck and has decided to go to the theatre. His truck will fit himself plus two other passengers. How many ways can he choose who to take with him to the theatre from his 8 friends.