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Mr. Watts’s MTH 110 class organizes a club devoted to making tests like this one less silly. There are 13 people in the class. Suppose the club decides to elect two officers (president, vice president) and form two executive committees—a 3-person planning committee and a 4-person silliness reduction committee. How many ways can they do this?

Little Joe Freebeck is playing a gambling game with “Knuckles” O’Reilly. It involves first rolling a standard 6-sided die, and then flipping a coin. List all possible outcomes of this experiment.

Pinky Burwinkle’s is making good progress in its quest to help reduce the environmental damage caused by evil packs of rogue kittens. Once in the forest, she hands out hatchets to help students clear the underbrush so that they can address the massive ecological damage caused by rogue bands of evil kittens. From the 10 students she trusts, she chooses five to give hatchets to. However, the tools are in five different sizes (child size, small, medium, extra-medium, and large) so it matters who gets which hatchet. (NOTE: DO NOT GIVE HATCHETS TO SMALL CHILDREN) In how many ways can she hand out the tools?

Consider a standard 3-circle Venn Diagram:Select all regions that would be included in  

Consider the following Two Circle Venn Diagram:Check all regions that should be included in  

Mr. Watts’s MTH 110 class organizes a club devoted to making tests like this one less silly. The class has 4 female students and 9 male students. How many ways are there to create an executive committee consisting of 3 females and 2 males?

Pinky Burwinkle’s second grade class is going on a field trip to the national forest help reduce the environmental damage caused by evil packs of rogue kittens. Most of them (the students, not the kittens are in detention, so only 11 of them got to go on the trip. Miss Burwinkle decides to line them up and march them all to the bus. In how many different orders can she line up the students? 

At Breezy’s, when you order a combo meal, you have lots of choices. You have ten different kinds of sandwiches, five different choices of side items, and eight choices of drinks. How many different combo meals are there?

Due to some poor decision making, Jennifer finds herself in a new job: making license plates. In the state where she is working, license plates have two numbers followed by three letters, and then two more numbers. Answer the following: a. How many license plates are possible if letters and numbers can be repeated? b. How many license plates are possible if letters and numbers cannot be repeated?

Brandon and Mark are signing up for classes for next semester. They want to have at least one class together, but their work schedules may not allow it. Available courses at that time are ART 100 (Art Appreciation), MUS 100 (Music Appreciation), CRY 064 (Crayola 64-Color Theory), PPH 299 (Advanced Particle Physics), DTO 101 (Drive-Thru Ooperations 101), ENG 103 (English Composition for People Who Like Writing Directed Essays), BUS 136 (Learning to Look Busy So People Leave You Alone At Work) and MTH 110 (Finite Math). They each sign up for one class that fits his work schedule. THIS IS A TWO PART QUESTION, NOT MULTIPLE CHOICE a. How many ways are there for Brandon and Mark to wind up in the same class?   b. How many ways are there for them to take different courses?