Please enter your initials here (6) 12. Neil is creating an 8-character password. More than half of the characters will be lowercase letters, and the rest will be digits from 0 to 9. Neil will use at least one digit and will not use any character more than once. The digits will follow the letters. Note: the characters (digits and letters) will not be not be used more than once. a) Describe three different cases for this problem. b) How many passwords are possible if in each password the digits follow the letters? (3) 13. Twelve camp counselors are signing up for training courses that have only a limited number of spaces. Only five people can take the water safety course, three people can take the first aid course, two people can take the conflict management course and two people can take the astronomy course. How many ways can the 12 counselors be placed in the four courses? Page 5 of 5