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The number of different of different ways in which 8 persons can stand in a row so that between two particular persons A and B there are always two persons, is

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We will first choose the 2 people that are between A and B in `6_(C_2)`​ ways
A,B and the two people between them can be arranged in 2 ways each.
The total number of arrangements of this one unit is `2×2=4`
So the total number of arrangements possible is `6_(C_2)​×5!×4=60×5!`
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