how many necklaces of 12 beads can be formed from 18 beads of different colours?
Hello,
There is no difference between the clockwise and anticlockwise arrangements in the case of the necklace, then the required number of circular permutations 18P12/2 *12 => 18!/6! *24 => 18×17×16×16×15×14×13! / 6 * 5 * 4* 3*2*1 *24 => 119 * 13! /2