solve each step with formulas

a) How many numbers are in between which are greater than 2000 and less than 4000 can be made from 0,1,2,3, and 4. (Repetition allowed). Also write first 4 of them. b) A student is to answer 8 out of 10 questions, in an examination, such that he must choose at least 4 from the first five questions. In how many was he/ or she can attempt the paper? Question no 5 ( 2 marks ) Three cards are drawn from an ordinary deck and not replaced. Find the probability of these events. a. Getting 3 jacks b. Getting an ace, a king, and a queen in order c. Getting a club, a spade, and a heart in order d. Getting 3 clubs Question no 6 ( 3 marks ) a) Suppose you are the supporter of Brazil Football team. It is observe that generally the team play at home get more support from its fans so high chances of winning that is out of 56 matches 49 they won. Generally 70% matched play abroad, but still when the team played abroad there is equal chance of winning or losing the match. By using the concept of Total Probability Theorem, determine the probability of losing, no matter where the team plays the game. Question no 7 ( 3 marks ) b) All six lettered word without repetition are arranged in a dictionary, find the rank of BUCKET