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Shamsun posted an Question
December 31, 2020 • 14:01 pm 30 points
  • IIT JAM
  • Mathematics (MA)

(b) whal wero let s, be the group of all permuta of the set {1,2,3,4,5,6,7,8,9. then the total number 0 elements in s, that commute with ( 2 3) (4567) in s. eas

(b) Whal wero Let S, be the group of all permuta of the set {1,2,3,4,5,6,7,8,9. Then the total number 0 elements in S, that commute with ( 2 3) (4567) in S. easnl als 11. (GATE-2011 28 3 Scanned by Cam I

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    Piyush pachauri Best Answer

    Correct answer is 24. which comes from the relation between order of centralizer and order of class of that element. O(Class(a))= 9!/2!×3×4 O(C_a) = 9!/ O(class(a) = 24

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