The number of product 3-cycles*2-cycles in the symmetric group $S_5$

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Can anyone her tell me how to find the number of products 3-cycles*2-cycles



such that the 3-cycles and the 2-cycles are disjoints in the symmetric group $S_5$.



Thank you.




symmetric-groups




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  • Hint: there are $frac1m fracn!(n-m)!$ distinct $m$ cycles in $S_n$.
    – Chinnapparaj R
    Jul 29 at 10:03











  • thank you sir for your answer, in fact i know this fact but i could not reach the result of my question.
    – Amine El Bouzidi
    Jul 29 at 10:07















up vote
0
down vote

favorite












Can anyone her tell me how to find the number of products 3-cycles*2-cycles



such that the 3-cycles and the 2-cycles are disjoints in the symmetric group $S_5$.



Thank you.




symmetric-groups




share|cite|improve this question



















  • Hint: there are $frac1m fracn!(n-m)!$ distinct $m$ cycles in $S_n$.
    – Chinnapparaj R
    Jul 29 at 10:03











  • thank you sir for your answer, in fact i know this fact but i could not reach the result of my question.
    – Amine El Bouzidi
    Jul 29 at 10:07













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Can anyone her tell me how to find the number of products 3-cycles*2-cycles



such that the 3-cycles and the 2-cycles are disjoints in the symmetric group $S_5$.



Thank you.




symmetric-groups




share|cite|improve this question











Can anyone her tell me how to find the number of products 3-cycles*2-cycles



such that the 3-cycles and the 2-cycles are disjoints in the symmetric group $S_5$.



Thank you.





symmetric-groups





share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked Jul 29 at 10:00









Amine El Bouzidi

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313











  • Hint: there are $frac1m fracn!(n-m)!$ distinct $m$ cycles in $S_n$.
    – Chinnapparaj R
    Jul 29 at 10:03











  • thank you sir for your answer, in fact i know this fact but i could not reach the result of my question.
    – Amine El Bouzidi
    Jul 29 at 10:07

















  • Hint: there are $frac1m fracn!(n-m)!$ distinct $m$ cycles in $S_n$.
    – Chinnapparaj R
    Jul 29 at 10:03











  • thank you sir for your answer, in fact i know this fact but i could not reach the result of my question.
    – Amine El Bouzidi
    Jul 29 at 10:07
















Hint: there are $frac1m fracn!(n-m)!$ distinct $m$ cycles in $S_n$.
– Chinnapparaj R
Jul 29 at 10:03





Hint: there are $frac1m fracn!(n-m)!$ distinct $m$ cycles in $S_n$.
– Chinnapparaj R
Jul 29 at 10:03













thank you sir for your answer, in fact i know this fact but i could not reach the result of my question.
– Amine El Bouzidi
Jul 29 at 10:07





thank you sir for your answer, in fact i know this fact but i could not reach the result of my question.
– Amine El Bouzidi
Jul 29 at 10:07
















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