2. Instructions  Students will be split up into groups of 3-4 ›Turn your desks to face each other ›Do not talk to anyone outside your group ›Each student will be assigned a letter  A problem will be presented for students to work on  A student from each group will be chosen randomly to show their answer for points  A correct answer will earn your team one “slide tally” for points at the end of the review game

3. Scoring 10 5 33 5 15 00 25 15

4. Question 1 Find the number of permutations of the letters of the word: ALIGATOR

5. Question 2 In the expansion of (x + y) 11, what is the coefficient of x 2 y 9 ?

6. Question 3 All but one of the following linear permutations correspond to the same circular permutation. Which one does not? [A] QPOTM [B] OTMQP [C] POTMQ [D] MQOPT

7. Question 4 Find the number of possible routes from X to Y if you can only travel East and South.

8. Question 5 Find the number of possible routes from X to Z if you can only travel East and South.

9. Question 6 Find the number of possible routes from Z to Y if you can only travel West and South.

10. Question 7 Find the number of possible routes from X to Y via Z. Assume that when traveling from X to Z you can only travel East and South. While when traveling from Z to Y you can only travel West and South. In addition, assume that when traveling from Z to Y that we would not travel PAST y.

11. Question 8 Consider the linear permutation BUDA. Draw the four circular permutations that are the same as BUDA

12. Question 9 34 people are attending a banquet and there are 5 tables (with all seats facing the front of the room) set up for the event. There are 10 seats at table 1, 5 at table 2, 8 at table 3, 6 at table 4 and 5 at table 5. In how many ways can these people be seated?

13. Question 10 How many circular permutations are possible for 8 people standing in a circle around a fire?

14. Question 11 Dinner reservations at a hibachi restaurant are taken for parties of 2. 5 couples are able to fit at one table. If the couples must sit together, how many circular permutations are possible?

15. Question 12 Give the expansion of the binomial. Simplify your answers. a) (x + y) 3 b) (8 + 2) 5

16. Question 13 Give the first 3 terms in the expansion of (2x -4) 8 in simplified form.

17. Scoring 10 5 33 5 15 00 25 15