Tents hold 2,3,5, 6 or 12 people. How many combinations can make 28 people if all tents are fully occupied and exactly one 12 person tent is used?

Question

Tent question holds 2,3,5,6 or 12 people need to make 28 as many times as possible only using one 12 person tent.

Answer 1

So the problem boils down to finding combinations of 16.

 

6 + 6 + 2 + 2

 

6 + 3 + 3 + 2 + 2  <--- replaces the 6 with 3 + 3

 

6 + 2 + 2 + 2 + 2 + 2 <--- replaces the 6 with 2 + 2 + 2

 

6 + 5 + 5

 

Then we can replace the first six with 3x2 and 2 x 3

 

10