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PracticeAssignment21.docx

Tesla Model S  Description automatically generated CSC175 Practice Assignment 2 Type Name: Directions: Download this file and save as lastnamePracticeAssignment2. Type all solutions on this document. Use equation editor when necessary. Upload Word document to Blackboard by Saturday at 11:59 AM. Please color, highlight, and/or bold your work to differentiate it from the original questions. Thank you. Directions for equation editor: Choose INSERT tab, Click Equation (far right), and explore all your options! Show Work!

1) You can buy the Tesla Model S with five exterior colors, three interior colors, two trim styles, two wheel choices, and with autopilot or not.

a) How many different Model S are available?

b) If you can only order autopilot with one trim style, how many total choices are there?

c) If you can order autopilot or not with both trim styles, but two of the exterior colors only allow two interior color choices, how many total choices are there?

2) In lacrosse, there are 3 offensive players, 3 midfielders, 3 defensive players, and a goalie. If a Concordia has 6 offensive players, 5 midfielders, 4 defensive players, and 2 goalies healthy, how many different combinations of players can play?

3) A middle school boy has all 7 Harry Potter books.

a) If he wants to line them all up on his bookshelf, how many different ways can this be done (assuming he can deal with his OCD and NOT just order them 1 through 7)?

b) If he can only take three to Grandma’s house, how many different ways can this be done?

c) If he wants to line exactly four of them up on his shelf, how many different ways can this be done?

4) A Master Lock can use the numbers from 0 to 39. Combinations are three number sequences.

a) How many combinations do we have if there is no repetition?

b) How many combinations are there if the first and third numbers must be even, the second number must be odd, and there is no repetition?

5) List all partitions of the set .

6) Is the set of all vertical lines where is any real number a partition of the Cartesian plane? Why or why not?

7) Use the binomial theorem to expand the following expressions. Must show all steps as shown on the class PowerPoint. A) B)

8) What is the coefficient of the term of the expansion of ? Show work please.

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