QUESTION1 7 1 Determine the 5th term in the expansion of [X - 2 O ?:x3y4 O -%x4y3 O %x3y4 O %x4y3 QUESTIONZ For a certain state, the number of possibilities for license plates is X. The number of license plates with no characters repeated is Y. How many license plates do have at least one character repeated? OXY O X-Y 2 OX+Y OX-Y QUESTION 3 For each scenario, choose whether the answer would be found by using a combination or a permutation. V Seating 6 students from a class of 25 in a row at the front of a A' Permutation classroom. B . _ 'Comblnation v Taking 3 out of your 10 sweaters to the dry cleaners. v Selecting a team of committee members for a project at work. v Putting spices on a shelf alphabetically, QUESTION 4 A soccer coach must choose 3 out of 10 players to kick tiebreaking penalty shots. Assuming the coach must choose the order of the 3 players, how many different arrangements does she have available? OA 10! 3!3!4! O B- 10! 7! 0C 10! 3! 0'1 10! 3!?! QUESTION 5 How many cards out of a standard deck would you need to draw to ensure two ofthem are different suits? QUESTION 6 A bowl contains an apple, a pear, a plum, and a banana. How many different pairs offruit can be selected from the bowl? 0 A' 4P 2 O B' 2 P 4 O C' 4C2 O D'z C4 QUESTION 7 A hardware store stocks eight types of pipes, one of which is stainless steel (55). Assuming there are at least 20 pipes of each type, how many ways can a total inventory of 20 pipes be distributed among the eight different types if the inventory must include at most three 55? QUESTION 8 A breakfast special consists of choosing one item from each category in the following menu: Juice: apple, orange, grapefruit Toast: white, wheat Eggs: scrambled, fried, poached Beverage: coffee, tea, milk How many different breakfast specials are possible? OA'96 OB-54 OCH 0 D48 QUESTION 9 A combination lock that has 60 numbers on the dial works by rst turning it to the right, then to the left, and then to the right, with 3 different selected numbers needed to open the lock. The selection of these numbers is an example of: O A' neither a permutation nor a combination 0 3' both a permutation and a combination 0 c'a combination 0 Da permutation QUESTION 10 A hardware store stocks eight types of pipes, one of which is stainless steel (55). Assuming there are at least 20 pipes of each type, how many ways can a total inventory of 20 pipes be distributed among the eight different types if the inventory must include at least four SS? QUESTION 11 In the expansion of (20 - 3b)6 , determine the coefficient of the term containing a4b2 . O 2880 O 4320 O 864 O 2160 QUESTION 12 Put the following functions in order of increasing growth rates (from slowest to fastest) as x gets very large QUESTION 13 How many Facebook friends would you need to ensure two of them have last names that start with the same letter? :J