Answering the following questions about while loop (For each question, you should clearly show steps about how you get the answer.) (20 points) Pseudocode fragment: a) In a hat, there are 10 balls labeled 1 through 10. If you want to choose 4 balls at random without replacement, how many ways can you do this? .(5 Points) b) Calculate a numerical value for the following. (5 Points) 6 () 4 c) A teacher must select three members of the math club to participate in an upcoming competition. How many ways are there for her to make her selection if the club has eight members? (5 Points) Activate W d) A group of four friends goes to a restaurant for dinner. The restaurant offers 15 different main dishes. Suppose that the group collectively selects five different dishes to share. The waiter just needs to place all five dishes in the center of the table. How many different possible meals are there Go to Setting for the group? (5 Points)