In this assignment you are going to focus on: Factorials and the Rule of Sum Total Marks: 42 marks Instructions: After completing the lesson action section of your home page, you are ready to complete your lesson assignment. Follow these steps. a) In the textbox given, explain the strategy that you used to determine your answer. b) Fill in your answer. The mark for each question is given at the introduction to the questions to be completed. c) When finished answering all your questions, save your file and upload the file into the appropriate dropbox. Part A (Putting the Concepts to Work): Completion (42 marks): Using your reading, answer the following questions: For each question you are asked to: a) identify the information given in the question. b) determine the appropriate formula. c) substitute the values given into the formula and find the solution. d) give the final answer. As part of your answer, give the page number in the reference material or the website that you used to find the answer to the question. 1. How many permutations are there of 7 people taken from 11 people?(two marks) A 77 B 1663200 C 7920 D 39916800 2. If 10 different books are to be arranged on a shelf, in how many different ways can this be done? (two marks) A 3628800 B 90 C 10 D 100 MDM4U Lesson Assignment Page 1 3. Depending on the situation, a game allows a player to roll 1, 2, or 3 dice. How many possible outcomes are there?(two marks) A 6 C 108 B 36 D 258 4. How many ways are there to arrange either 4 or 5 toys from a basket of 12 toys? (two marks) A 9 C 106920 B 79833600 D 1129075200 5. A box contains 3 red, 5 green, 1 blue, 6 orange, and 4 black blocks. In how many ways could a child reach in and select a block?(three marks) A 19 C 20 B 360 D 35913. Using words and/or diagrams, explain why the number of arrangements of the letters ABCDE is 5!.(three marks) 14. How many ways are there to roll a sum divisible by three on two dice?(three marks) 15. Determine the number of ways of arranging 4 or 5 books on a shelf from a box containing 12 books. (four marks), MDM4U Lesson Assignment Page 56. Four players each are dealt one card. In how many ways could the cards all be clubs or honour cards (10, J, Q, K, A)? (three marks) A 17 280 C 133 320 B 133 440 D 1995 364 800 MDM4U Lesson Assignment Page 2 7. Express in the form . a) 12! 61 b) 9! c) 27 x 26 x 25 (three marks) 8. A club has 20 members. In how many ways could an executive committee consisting of a president, vice president, secretary, membership director, and treasurer be named? Show two methods.(three marks) 9. A spinner has 6 sections, numbered from 1 to 6. The spinner is spun 4 times. How many different outcomes are possible?(two marks) MDM4U Lesson Assignment Page 3 10. (three marks) A combination lock uses the numbers from 1 to 60. How many unique three-number lock combinations are possible if repetition is permitted? (three marks10. (three marks) A combination lock uses the numbers from 1 to 60. How many unique three-number lock combinations are possible if repetition is permitted? (three marks 11. Fraternities and sororities often use the Greek alphabet to name their group. The Greek alphabet has 24 letters. If repetition is permitted, how many different fraternities or sororities could be named a) using two letters? b) using three letters? (four marks) 12. From a graduating class of 175 students, the four students with the highest average marks will win academic awards. In how many ways could these awards be presented? (three marks) MDM4U Lesson Assignment Page 4 13. Using words and/or diagrams, explain why the number of arrangements of the letters ABCDE is 5!.(three marks 14. How many ways are there to roll a sum divisible by three on two dice? (three marks)