MDM4U EXAM REVIEW 1. Consider the arrangement of the name TISHAN a. How many arrangements are there in total? b. How many begin with N? c. How many begin with a vowel? 2. Consider forming 7 digit number using 1,2,3,4,5,6,7. Using all the digits with no repetition. a. How many seven digits odd numbers can be formed? b. How many seven digit numbers can be formed that are greater than 5 million? 3. Mr. Math designs game in which a die is rolled and a coin is tossed. a. What is the probability of tossing a head and rolling a six? b. What is the probability of getting a tail and an odd number? c. Which odds are better? Show steps. i. tossing a head and a six or ii. a tail and a one. 4. Mr. Punctual has a 2% chance of waking up after 6:30 a.m. If he wakes up after 6:30 am he has a 5% chance of being late for school. He is never late if he wakes up before 6:30 a.m. If there are 90 days in semester 1, how many days is Mr Punctual late? 5. Ms Birket's data class has 30 students. a. In how many ways can the class of 30 be lined up? b. How many ways can they be arranged in circle? c. In how many arrangements are the 20 girls together and the 10 boys are together? 6. Mr Sugar has 3 Kit Kat, 2 Mars Bar and 4 Coffee Crisp in his drawers. a. What is the probability that he withdraws a Coffee Crisp, followed by a Kit Kat, if the first one is replaced? b. How does the probability change if the first one is not replaced? 7. What is the theoretical probability of rolling each of the following sums with a pair of dice? a. Snake eyes? b. A 7? c. any number greater than 10? d. a 7 or 10? 8. Given the numbers -4,-3,-2,-1, 1,2,3,4. In how many ways could 3 different numbers be chosen so that their product is negative?