lIL'IUESTICDM 5 a) The letters in the word CALCULATOR are each written on a card and the cards are shufed and placed in a line. i) In how many ways can the cards be arrange? (2 marks) ii) Four letters are chosen at random. Calculate the number of words that can be formed from the four lettels chosen if the words contain two vowels. (2 marks) b) In a class of 38 students. 18 decided to enroll for swimming course and 20 students enroll horse riding course and only eight of them enroll for both courses. i) Draw a Venn diagram to illustrate the above situation. (2 marks) ii) Find the probability that a student enroll only on horse riding course. (2 marks) iii) Calculate the probability of student who enroll for both courses. (2 marks)