Question

The order of the cycle 1 12 8 10 4 2 13 5 11 7 6 9 is?

Answer 1

Answer:

30

Step-by-step explanation:

Given  

The order of the cycle 1 12 8 10 4 2 13 5 11 7 6 9 is?

ANSWER

Now we can group this order as (1 12 8 10 4)(2 13)(5 11 7)(6 9). These elements are written as a product of disjoint cycles. Now we need to find the LCM of the order of numbers that is 5,2,3 and 2

            2    5, 2, 3, 2

                   5, 1, 3, 1

                ----------------

                 So 5 x 3 x 2 = 15 x 2 = 30

30 is the LCM and is the order of elements.