5. IfS={x|0

a. MN b. MN c. M'N'.

6. In how many different ways can a true-false test consisting of 15 questions be answered? Show solution details.

7. A witness to a hit-and-run accident told the police that the license number contained the letters SGM followed by 3 digits. If the witness cannot recall the 3 digits, but is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check. Show solution details.

8. If a multiple-choice test consists of 40 questions, each with 5 possible answers of which only 1 is correct,

a. inhowmanydifferentwayscanastudentcheckoffoneanswertoeach question?

b. in how many ways can a student check off one answer to each question and get all the answers wrong?

9. A contractor wishes to build 11 houses, each different in design. In how many ways can he place these houses on a street if 7 lots are on one side of the street and 4 lots are on the opposite side?

10. Find the number of ways that 10 graduate assistants can be assigned to 7 sections of CVL405 course if no graduate assistant is assigned to more than one section.

11. How many ways are there to select 3 candidates from 25 equally qualified recent graduates for openings in an engineering firm?