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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

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

Can you please clear my doubt?

see this attachment

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 ....

• Sonu saini

any doubt you can ask

• Sonu saini

answer is b

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

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