The cyclic group of order 12 acts on {1,2, ... , 12} with the following cycle structure. (1) (**)(**)(**)(**)(**)(**) 1x (***)(* **)(***)(***) (****)(****)(****) (******)(******) 1 x 2 x 2 x 2 x...


The cyclic group of order 12 acts on {1,2, ... , 12} with the following cycle<br>structure.<br>(1)<br>(**)(**)(**)(**)(**)(**) 1x<br>(***)(* **)(***)(***)<br>(****)(****)(****)<br>(******)(******)<br>1 x<br>2 x<br>2 x<br>2 x<br>(************)<br>4 x<br>Determine the number of different colored necklaces with 12 beads when each<br>bead is colored with one of 3 colors.<br>

Extracted text: The cyclic group of order 12 acts on {1,2, ... , 12} with the following cycle structure. (1) (**)(**)(**)(**)(**)(**) 1x (***)(* **)(***)(***) (****)(****)(****) (******)(******) 1 x 2 x 2 x 2 x (************) 4 x Determine the number of different colored necklaces with 12 beads when each bead is colored with one of 3 colors.

Jun 05, 2022
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