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Question 19 (3 points) Marika collects enamel pins- She is lining them up to display in her display case. Marika has 6 different floral pins, 4 different cartoon pins, and 3 different animal pins- a) Algebraically determine the number of ways any 3 of the pins can be lined up. [1 mark} b] Algebraically determine the number of ways in which all the pins can be lined up if the cartoon pins cannot be together. [2 marks] Paragraph v Question 18 (3 points) Use the following information to answer the next question. A standard deck of 52 playing cards has the following characteristics: . Four suits (spades, clubs, diamonds, and hearts); . Two black suits (spades and clubs); . Two red suits (diamonds and hearts); . Each suit has 13 cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King); . Face cards are considered to be Jacks, Queens, and Kings. Use the above information to answer the following. Remember to show how you got to your answer for full marks. a) Algebraically determine the number of five-card hands that can be formed containing at most 4 face cards. (2 marks) b) Algebraically determine the number of five-card hands that have exactly 3 Kings and exactly 1 ten. (1 mark) Format BI UQuestion 1? (2 points) Algebraically determine the number of pathways from A to B if routes must always move closer to B. A 3 09 v Paragraph v B I U v ... @9512i Question 16 (2 points) A school cafeteria offers pizza made with one of the following toppings - ham, pineapple, feta, or salami on one of the following doughs thin crust, flatbreacl, deep- dish, or gluten free. a) Create a tree diagram and list all of the possible pizza choices. (1 mark) b) Use the Fundamental Counting Principle to verify the number of possible pizza choices. (1 mark} Paragraph v