Part B: Thinking {12 marks} 1. In a library, 2 different English books, 4 different Chemistry books and 3 different Math books are arranged on a shelf. Determine the number of different arrangements for the 9 books if a. there are no restrictions (1 mark) h. the books on each subject must be kept together (3 marks) MDM4U - Berordi Name: 2. How many ways can you order the letters of CANADA if it begins with exactly 2 A's? (2 marks} 3. A student council of 6 members is to be formed from a selection pool of 8 males and 9 females. How many committees will have at least 4 females? (2 marks} 4. A test for the presence of E. coli in water detects 97% of the time when the bacteria is present, but also gives a false positive 2% of the time, wrongly indicating the presence of E. coli in uninfected water. If 10% of the water samples tested contain E. coli, what is the probability that a test result indicating the presence of the bacteria is accurate? (4 marks)