Finding the possible combinations

IBstudent

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Jan 27, 2012
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A group of Contruction students must choose their specialist options from the following list:

Bricklaying, Damp-proofing, Drainage, Flooring, Joinery, Plastering, Roofing.

Each student must choose three options. The available options may be combined with each other in any way, with the exception of the restrictions that Damp-proofing and Drainage together may not be combined with Bricklaying or Plastering because of timetable constraints, and that students choose Joinery must also choose Flooring.

How many possible combinations including Drainage could the students choose from?
 
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