Q5 (a) Imagine a membership account requires a password to consist of five digits (0 to 9) and followed by one letter. (i) How many passwords can be made if digits can be repeated? (1 mark) (ii) How many passwords can be made if digits cannot be repeated? (2 marks) (iii) If a password is made by selecting five digits and a letter at random, and the digits cannot be repeated, what is the probability that the password contains no zeros? (2 marks) (b) The following words are arranged in a row. How many different arrangements are possible? (i) HISTOGRAM (1 mark) (ii) STATISTICS (2 marks)