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Sagot :
479,001,600 necklaces can be made using 13 different beads.
We will be using 13 different beads in our necklace, and the arrangement of the beads is what distinguishes one necklace from another.
Additionally, the mirrored necklaces are different because we are unable to turn the necklaces around (the positions of the beads are mirrored)
We have 13 alternatives for the first bead, 12 options for the second, and so on.
if the product of the options for each choice results in a total number of combinations equal to 1, then we have:
Combinations of the form C=13*12*11*10*9*8*7*6*5*4*3*2*1
C = 6,227,020,800.
Now that the necklace may be rotated, a combination is possible.
A B C D E F G H I J K L M (Each letter corresponds to a certain bead)
is identical to other orders as
A through Z: m A B C D E F G H I J K L
With 13 rotations for each combination, the actual number of combinations is:
C/13 = 6,227,020,800/13 = 479,001,600
To learn more about different necklaces
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