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प्रश्न
Find the number of ways for 15 people to sit around the table so that no two arrangements have the same neighbours
उत्तर
There are 15 people to sit around a table.
∴ They can be arranged in (15 – 1)! = 14! ways.
But, they should not have the same neighbour in any two arrangements.
Around table, arrangements (i.e. clockwise and anticlock wise) coincide.
∴ No. of arrangements possible for not to have same neighbours = `(14!)/2`
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