In how many different ways can a garland of 16 different flowers be made?

Question:

In how many different ways can a garland of 16 different flowers be made?

 

Solution:

It is also in the form of a circle, So we need to arrange 16flowers in Circle

16 flowers can be arranged by 15!

Now each flower have the same neighbour in the clockwise and anticlockwise arrangement

Total number of arrangement are $(15 !) / 2$

 

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