Find out the number of ways in which 18 flowers can be arranged in a necklace/garland. Options: A . &nbsp18! B . &nbsp17! C . &nbsp16! D . &nbsp12(17!) E . &nbsp9

Find out the number of ways in which 18 flowers can be arranged in a necklace/ga

Question

Find out the number of ways in which 18 flowers can be arranged in a necklace/garland.

Answer: Option D
:
D
This is a case of “Circular Permutation” where you cannot differentiate between clockwise and anticlockwise directions.
No. of arrangements =

\frac{1}{2} (18 - 1)! = \frac{1}{2} (17!)

Hence option (d)

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