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Question: The number of ways that 8 beads of different colours be string as a necklace is....

The number of ways that 8 beads of different colours be string as a necklace is.

A

2520

B

2880

C

5040

D

4320

Answer

2520

Explanation

Solution

8 different beads can be arranged in circular form in (8 – 1)! = 7! ways. Since there is no distinction between the clockwise and anticlockwise arrangement. So the required number of arrangements = 7!2=2520.\frac{7!}{2} = 2520.