Thinking (12 marks, 2 marks each) SHOW ALL WORK FOR FULL MARKS 11) Write the expression below in the form (a + b) w (Hint: find a, b and w) m5 + 10m4n+ 40m3n2 + 80m2n3 + 80mn4 + 32n5 12) Suppose there is a race between 10 friends. Find the probability that Roger is first, George is second and Diep is last? 13) HOW many arrangements Of the letters in the word TORONTO begin With the letter R and end With the letter O? 14) A 12-member jury is to be selected from 22 men and 24 women. Find the probability that this jury has 6 or 7 males. 15) Suppose a 5 card hand is drawn from a standard deck Of cards. Find the probability that this hand contains exactly 2 cards that are divisible by 5 and exactly 2 face cards? 16) An Ontario license plate has 4 letters followed by 3 numbers. HOW many license plates a. contain only vowels (A, E, I, O, U) and numbers greater than 5? Assume repetition is not allowed (example AEI 11689). b. contain 4 different letters but the same 3 digits (example ABCD777)?