Ajay posted an Question
January 25, 2021 • 11:13 am 30 points
  • IIT JAM
  • Mathematics (MA)

Shouldn't the answer be d option?

Shouldn't the answer be d option? My answer is 2520. Please show why it is wrong

2 Answer(s) Answer Now
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    Sonu saini

    why you divide it by 6

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    because the cycles (123)(4567)(89) and (89)(123)(4567) will be the same so there are 3factorial ways to permutate the three cycles amongst themselves. that is why I divide it by 3! to avoid duplicacy

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    Can you please clear my doubt?

    eduncle-logo-app

    see this attachment

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    always first write the cyclic decomposition of permutation which conjugates you need to find then apply this formula ,here alpha 1 is no.of cycle of length 1, alpha 2 is no. of cycle of length 2 ....

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    Sonu saini

    answer is b

    cropped7045306400622580024.jpg
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    please show what's wrong with my method. I divided the whole by 3! as there are 3 different cycles

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