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

18!

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17!

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16!

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½(17!)

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½(18!)

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Solution

The correct option is D ½(17!)
Soln:

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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