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Consider the symmetric group S5 then which one of the following is/are true ?
  • a)
    The no. of elements of order 3 is 20.
  • b)
    The no. of elements of order 2 is 10.
  • c)
    The no. of elements of order 6 is 20
  • d)
    The no. of elements of order 6 is 10.
Correct answer is option 'A,B,C'. Can you explain this answer?
Verified Answer
Consider the symmetric group S5 then which one of the following is/are...
An element of S5 is of order 6 if and only if it is product of two disjoint cycles of one of length 2 and another of length 3. 
lf S = { a , b , c , d , e } then an element of order 6 is of the type (a b c) (d e)
Similarly , an element of S5 is of order 2 is a cycle of length 2.
and 3 length cycles are 
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Consider the symmetric group S5 then which one of the following is/are true ?a)The no. of elements of order 3 is 20.b)The no. of elements of order 2 is 10.c)The no. of elements of order 6 is 20d)The no. of elements of order 6 is 10.Correct answer is option 'A,B,C'. Can you explain this answer?
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Consider the symmetric group S5 then which one of the following is/are true ?a)The no. of elements of order 3 is 20.b)The no. of elements of order 2 is 10.c)The no. of elements of order 6 is 20d)The no. of elements of order 6 is 10.Correct answer is option 'A,B,C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Consider the symmetric group S5 then which one of the following is/are true ?a)The no. of elements of order 3 is 20.b)The no. of elements of order 2 is 10.c)The no. of elements of order 6 is 20d)The no. of elements of order 6 is 10.Correct answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the symmetric group S5 then which one of the following is/are true ?a)The no. of elements of order 3 is 20.b)The no. of elements of order 2 is 10.c)The no. of elements of order 6 is 20d)The no. of elements of order 6 is 10.Correct answer is option 'A,B,C'. Can you explain this answer?.
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