QUESTION 1 How many Facebook friends would you need to ensure two of them have last names that start with the same letter? QUESTION 2 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? O A. 48 O B. 54 O C. 11 O D. 96 QUESTION 3 Solve for n: n P2 = 42 O A. 42 O B. 7 O C. 6 O D. 2QUESTION 4 In a certain state, license plates are two numbers followed by three letters. How many different license plates are there that do not have a repeated symbol? QUESTION 5 A soccer coach must choose 3 out of 1 0 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! 7! 03- 10! 3! 3!4! 0C 10! 3! 0'1 10! 3! 7! QUESTION 6 Let 5 be the sample space for rolling two 6-sided dice. Let E1 be the event of getting doubles, let E2 be the event of having the sum of pips be less than or equal to 5, let E3 be the event of having the sum of pips be equal to 8, and let E4 be the event of rolling exactly one 1 or exactly one 2 or exactly one 3. Place the following in numerical order, from smallest to largest. v P(E1) v P(Ez) v P(E3) v Pm) QUESTION 7 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? Ox + Y OX-Y 2 O XY O X - Y QUESTION 8 Katie is coloring a rainbow in her painting. She knows the seven colors of the rainbow but can't remember the order of the colors. How many different ways could the colors be arranged if each color is only used once? O A. 128 O B. 720 O C. 5,040 O D. 28 QUESTION 9 How many cards out of a standard deck would you need to draw to ensure two of them are different suits?QUESTION 10 North American area codes are three digit numbers. Before 1995, area codes had the following restrictions: the first digit could not be 0 or 8, the second digit was either 0 or 1, and the third digit was any number from 1 through 9, inclusive. How many area codes were possible