Permutations And Combinations Question 13

Question: The number of ways that 8 beads of different colours be string as a necklace is [EAMCET 2002]

Options:

A) 2520

B) 2880

C) 5040

D) 4320

Show Answer

Answer:

Correct Answer: A

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 = $ \frac{7!}{2}=2520. $