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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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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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