In how many ways can we arrange $6$ different flowers in a circle $?$ In how many ways we can form a garland using these flowers $?$

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Solution

The number of circular arrangements Of $6$ different flowers $= (6 - 1)! = 120$
When we form a garland, clockwise and anticlockwise arrangements are similar. Therefore, the
number of ways of forming garland $= \frac{1}{2} (6 - 1)! = 60.$

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In how many ways can we arrange 6 different flowers in a circle? In how many ways we can form a garland using these flowers?

The number of circular arrangements Of 6 different flowers=(6−1)!=120When we form a garland, clockwise and anticlockwise arrangements are similar. Therefore, thenumber of ways of forming garland=12(6−1)!=60.

In how many ways can we arrange $6$ different flowers in a circle $?$ In how many ways we can form a garland using these flowers $?$

The number of circular arrangements Of $6$ different flowers $= (6 - 1)! = 120$
When we form a garland, clockwise and anticlockwise arrangements are similar. Therefore, the
number of ways of forming garland $= \frac{1}{2} (6 - 1)! = 60.$