You are trying to fill six time slots in your schedule this semester. You have 11 courses to choose from. One class (SOC) is only offered during one time slot.  Three courses (ACCT, FIN and MKT) are each available in the same 2 time slots (2:00-3:15 T/H).  Three more courses are only available in one time slot.  The final four courses are each available in the same 2 time slots (ex: HIST, Math, PHIL and LIT are all available at 8:30MWF and 8:00TH).  How many different combinations of courses could you make to fill the six time slots?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter1: Basic Concepts And Properties
Section1.CR: Review Problem Set
Problem 67CR
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You are trying to fill six time slots in your schedule this semester. You have 11 courses to choose from.

One class (SOC) is only offered during one time slot. 
Three courses (ACCT, FIN and MKT) are each available in the same 2 time slots (2:00-3:15 T/H). 
Three more courses are only available in one time slot. 
The final four courses are each available in the same 2 time slots (ex: HIST, Math, PHIL and LIT are all available at 8:30MWF and 8:00TH). 
How many different combinations of courses could you make to fill the six time slots? 

 
Expert Solution
Step 1

Given that, 

One class is only offered during a one-time slot. 
Three courses are each available in the same 2-time slots.
Three more courses are only available in a one-time slot. 
The final four courses are each available in the same 2 time slots.

Here, we have to find out the different combinations of courses could you make to fill the six-time slots.

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