Please help me with the questions in the image below. please*Label them in order and*show all*steps. Thanks in advance. ?

l3. Utah's license plates have two letters followed by three numbers followed by another letter. How many possible combinations of Utah license plates exist (before not allowing inappropriate plates)? 14. Find the number of distinguishable arrangements of the letters of the word HAVANNAH. 15. Refer to Pascal's Triangle. Suppose seven fair coins are tossed. a) How many ways could the 7 coins land total? b) Find the number of ways there could be exactly two heads. :3) What is the probability exactly two coins will land on heads? d) What is the probability that at least two coins will land on heads? 17. Consider the standard deck of 52 cards. 2 13 6 A a If a single card is chosen from the deck, what is the probability it will be a ten or a red card? b) If two cards are dealt from a deck of cards, then what is the probability they will both be face cards? 18. If an integer is chosen at random from 1 - 38, what is the probability it is a multiple of 3 or a multiple of 4? 19. There are 9 black, 6 navy, and 5 green marbles in a bag. One marble is chosen at random and its color is recorded. A second marble is drawn and its color is recorded. Create a probability tree representing this information.a) What is the probability of choosing two green marbles? b) What is the probability at least one marble is black? e) What is the probability of selecting one navy marble and one black marble (in either order, that is, navy then black or black then navy)? d) What is the probability neither marble is black? 20. The owner of a restaurant serving Continental-style entrees was interested in studying ordering patterns of patrons for the Friday-to-Sunday weekend time period Records were maintained that indicated the demand for dessert during the same period of time: DEMAND FOR DESSERT Desert Ordered Male Female Total Yes 96 40 E No 224 240 Q Total E m m A waiter approaches a table to take an order. What is the probability that the fn'st customer to order at the table: a) Orders a dessert? b) Is a male? c) Is a female and does not order a dessert? d) Is a female or does not order a dessert? e) Orders a dessert given a customer is a female? 21. Use the binomial formula to compute the following probability: 11:7, p=0.6, x=4. 22. A 35-year-old woman purchases a $100,000 term life insurance policy for an annual payment of $360. Based on a period life table for the US. government, the probability that she will survive the year is 0999057. Find the expected value of the policy for the insurance company