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There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers?

Correct Answer: 2 x 18!

Explanation:

fix one person and the brothers B1 P B2 = 2 ways to do so.
other 17 people= 17!


 
Each person out of 18 can be fixed between the two=18, thus, 2 x 17! x 18=2 x 18!


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