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A dresser has five drawers stacked vertically. To be able to reach the contents in an open drawer, no drawer that is adjacent to the open drawer may be open at the same time. In how many ways can one or more drawers be open so that the contents in each of the open drawers can be reached?

 
Logic  Oct 12, 2018
 #1
avatar+2403 
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there are 5 ways for 1 drawer to be open

 

there are 3+2+1=6 ways for 2 drawers to be open

 

there is 1 way for 3 drawers to be open

 

5+6+1 = 12 ways total

 
Rom  Oct 12, 2018

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