21. Find the order of ?^1000, where ? is the permutation (1 2 3 4 5 6 7 8 9 3 7 8 9 4 5 2 1 6). [Hint: Write ? as a product of disjoint cycles.]

          21. Find the order of ?^1000, where ? is the permutation
(1 2 3 4 5 6 7 8 9
 3 7 8 9 4 5 2 1 6). [Hint: Write ? as a product of disjoint cycles.]

Added by Raymond B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/15/2023

Step 1

The permutation is given as: & = (3 7 8 9 4 5 2 1 6) Now, let's find the disjoint cycles: Starting with 1, we have: 1 -> 6 -> 5 -> 4 -> 9 -> 8 -> 7 -> 3 -> 2 -> 1 So, the first cycle is (1 6 5 4 9 8 7 3 2). Since all elements are included in the first cycle, Show more…

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