please solve for ALL PARTS

Maria, Katrina, lan, Jim, and Dawn have all been invited to a dinner party. They arrive randomly and each person arrives at a different time. a. In how many ways can they arrive? b. In how many ways can Maria arrive first and Dawn last? c. Find the probability that Maria will arrive first and Dawn last. a. ( Type an integer.)A box contains 13 transistors, 5 of which are defective. If 5 are selected at random, find the probability of the statements below. a. All are defective b. None are defective a. The probability is (Type a fraction. Simplify your answer.)A city council consists of eight Democrats and five Republicans. If a committee of five people is selected, find the probability of selecting three Democrats and two Republicans. (Type a fraction. Simplify your answer.)A hand consists of 5 cards from a well-shuffled deck of 52 cards. a. Find the total number of possible 5-card poker hands. b. A diamond flush is a 5-card hand consisting of all diamond cards. Find the number of possible diamond flushes. c. Find the probability of being dealt a diamond flush. a. There are a total of poker hands