1) Iowa license plates have three upper-case letters followed by three digits, e.g., ABC 123. How many unique license plate numbers can be generated in Iowa?

2) Use a decision tree to determine how many 4 digit numbers contain only unique digits (e.g.s, 0123, 9341, 0865, 3972).

3) If a boy has 8 shirts, 5 long pants, and 6 shorts, how many different outfits does he have?

4) How many 4 digit numbers (XXXX, where X = {0, ..., 9}) start with either a 3 or 6?

5) How many 4 digit numbers (XXXX, where X={0, ..., 9}) end with the same last two digits?

6) Why isn't the answer to the question

"How many 4 digit numbers (start with either a 3 or 6), or (end with the same last two digits)?"

the sum of questions 4 and 5?

7) All the guests at a dinner party drink coffee or tea; 13 guests drink coffee, 10 drink tea, and 4 drink both coffee and tea. How many people are in this group?

8) Consider the three set Inclusion and Exclusion principle.

a) For each region in the Venn diagram, how many times is it counted in ? (Put a count in each region above).

b) If we subtract off , what will the count become?

c) What would be the whole three set Inclusion and Exclusion formula?

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9) From the 83 students who want to enroll in CS 320, 32 have completed CS 120, 27 have completed CS 180, and 35 have completed CS 215. Of these, 7 have completed both CS 120 and CS 180, 16 have completed CS 180 and CS 215, and 3 have completed CS 120 and CS 215. Two students have completed all three courses. The prerequisite for CS 320 is completion of one of CS 120, CS 180, or CS 215. How many students are not eligible to enroll?

10) How many people must be in a group to guarantee that two people in the group have the same birthday?