Answer:
Number of total arrangement of beads = 2,520
Step-by-step explanation:
Given:
Number of beads in necklace = 8 beads
Find:
Number of total arrangement of beads
Computation:
Changing beads is a cyclic permutation,
So,
Formula to find number of total arrangement in cyclic permutation
(n-1)!/2 , where n = number of item
So,
(n-1)!/2
Number of total arrangement of beads = (8-1)!/2
Number of total arrangement of beads = (7)!/2
Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2
Number of total arrangement of beads = 5,040 / 2
Number of total arrangement of beads = 2,520
