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Let S denote the group of all permutations on the finite set {1, 2, 3, 4, 5} under the operation of permutation multiplication. Then the order of the subgroup of S5 generated by  is 
  • a)
    3
  • b)
    6
  • c)
    12
  • d)
    24
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Let S denote the group of all permutations on the finite set {1, 2, 3,...
Given 
The order of the subgroup of S5 generated by
= L.C.M. ( 3 ,2 ) = 6
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Let S denote the group of all permutations on the finite set {1, 2, 3, 4, 5} under the operation of permutation multiplication. Then the order of the subgroup of S5 generated byisa)3b)6c)12d)24Correct answer is option 'C'. Can you explain this answer?
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