2. You must show all of your work by setting up the problem using combinatorics and simplifying completely There are 5 red marbles and 9 blue marbles in a bag a. How many ways can 4 marbles be selected? ow many ways can 4 marbles be selected if an equal number of red and blue marbles is desired? c. How many ways can 4 marbles be selected if no blue marbles are to be selected? d. How many ways can 4 marbles be selected if at least 3 red marbles are to be selected? e. Suppose two of the marbles are cracked. How many ways can 4 marbles be selected so that either no cracked marbles are selected or just one cracked marble is selected? f. Suppose three of the marbles are magnetized and cannot be separated from each other. How many ways can 4 marbles be selected? g. Suppose we will choose 1 marble out of the 14 marbles to be assigned to Game1, one to Game2, one to Game3 and one to Game 4. How many ways can the 4 marbles be selected? 3. You must show all ofyour work by setting up the problem using combinatorics and simplifying completely Our company has grown so much that we now must require people to wear IDs. We need to decide on the format for the ID. Two formats have been proposed. For each of the format options, assume that order matters. The characters include 26 upper ca se letters, 10 digits, and four special characters (!.@&). Count the number of unique passwords generated by each of the following password formats and select the method scheme that produces the most unique passwords. a. A password consists of 5 characters. No repetition is allowed A password consists of 5 characters. The first can be any character. The second can be any character except an A, 7or The next 3 characters can be a digit or special character, Repetition is allowed. b