Application [12 marks, 2 marks each} EHDW ALL WORK FOR FULL HARK$ 1?} Provide an example of a mutually exclusive and of a non-mutually exciuslye event. 18} Consider the following set {L1, 1, 2, 3} a} How many four-digit odd numbers can be formed using these digits? Assume repetltlon is not allowed. o} How many numbers greater than 1,000 can he formed using these dlgits? Assume repetition is not allowed. 19} How many ways can 9 people Ilne up it Tony, Billy, and Mary can not be next to each other? so} Suppose there are 10 lawyers, T accountants and 5- computer technicians being considered to form a committee. How many ways can a committee of E people be chosen If there must he tw'o lawyers, two accountants and two computer technicians on the committee? 21} Use the Binomial Theorem to expand and simplify the expresslon [3x + 5y}'. Show all your work. 22}Suppose you are expanding [4x - y)\". a} I} How many terms are there In the expansion? ll]- State the last term. b} II.t"|||'|thoi.|t expandlng [use the Formula for the General Term} what is the 4111 term? Show your work