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8. Permutations
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Q4 of 140 Page 317

In how many ways can 8 persons be seated at a round table so that all shall not have the same neighbours in any two arrangement?

By using the formula (n-1)! (mention in Solution-1)

So 8 persons can be arranged by 7!


Now each person have the same neighbours in the clockwise and anticlockwise arrangement


Total number of arrangement are (7!)/2 = 2520


More from this chapter

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2

There are 5 men and 5 ladies to dine at a round table. In how many ways can they sit so that no ladies are together?

3

In how many ways can 11 members of a committee sit at a round table so that the secretary and the joint secretary are always the neighbours of the president?

5

In how many differents ways can 20 different pearls be arranged to form a necklace?

6

In how many different ways can a garland of 16 different flowers be made?

Questions · 140
8. Permutations
1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 1 1 1 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
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